1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter10: Exponential And Logarithmic Functions
10.1 Finding Composite And Inverse Functions 10.2 Evaluate And Graph Exponential Functions 10.3 Evaluate And Graph Logarithmic Functions 10.4 Use The Properties Of Logarithms 10.5 Solve Exponential And Logarithmic Equations Chapter Questions Section: Chapter Questions
Problem 356RE: In the following exercises, for each pair of functions, find (a) (fg)(x),(gf)(x), and (c) (fg)(x).... Problem 357RE: In the following exercises, for each pair of functions, find (a) (fg)(x),(gf)(x), and (c) (fg)(x).... Problem 358RE: In the following exercises, evaluate the composition. 358. For functions f(x)=3x2+2 and g(x)=4x3 ,... Problem 359RE: In the following exercises, evaluate the composition. 359. For functions f(x)=2x3+5 and g(x)=3x27,... Problem 360RE: In the following exercises, for each set of ordered pairs, determine if it represents a function and... Problem 361RE: In the following exercises, for each set of ordered pairs, determine if it represents a function and... Problem 362RE: In the following exercises, for each set of ordered pairs, determine if it represents a function and... Problem 363RE: In the following exercises, for each set of ordered pairs, determine if it represents a function and... Problem 364RE: In the following exercises, for each set of ordered pairs, determine if it represents a function and... Problem 365RE: In the following exercise, find the inverse of the function, Determine the domain and range of the... Problem 366RE: In the following exercise, graph the inverse of the one-to-one function shown. 366. Problem 367RE: In the following exercises, find the inverse of each function. 367. f(x)=3x+7 and g(x)=x73 Problem 368RE: In the following exercises, find the inverse of each function. 368. f(x)=2x+9 and g(x)=x+92 Problem 369RE: In the following exercises, find the inverse of each function. 369. f(x)=6x11 Problem 370RE: In the following exercises, find the inverse of each function. 370. f(x)=x3+13 Problem 371RE: In the following exercises, find the inverse of each function. 371. f(x)=1x+5 Problem 372RE: In the following exercises, find the inverse of each function. 372. f(x)=x15 Problem 373RE: In the following exercises, graph each of the following functions. 373. f(x)=4x Problem 374RE: In the following exercises, graph each of the following functions. 374. f(x)=(15)x Problem 375RE: In the following exercises, graph each of the following functions. 375. g(x)=(0.75)x Problem 376RE: In the following exercises, graph each of the following functions. 376. g(x)=3x+2 Problem 377RE: In the following exercises, graph each of the following functions. 377. f(x)=(2.3)x3 Problem 378RE: In the following exercises, graph each of the following functions. 378. f(x)=ex+5 Problem 379RE: In the following exercises, graph each of the following functions. 379. f(x)=ex Problem 380RE: In the following exercises, solve each equation. 380. 35x6=81 Problem 381RE: In the following exercises, solve each equation. 381. 2x2=16 Problem 382RE: In the following exercises, solve each equation. 382. 9x=27 Problem 383RE: In the following exercises, solve each equation. 383. 5x2+2x=15 Problem 384RE: In the following exercises, solve each equation. 384. e4xe7=e19 Problem 385RE: In the following exercises, solve each equation. 385. ex2e15=e2x Problem 386RE: In the following exercises, solve. 386. Felix invested $12,000 in a savings account. If the interest... Problem 387RE: In the following exercises, solve. 387. Sayed deposits $20,000 in an investment account. What will... Problem 388RE: In the following exercises, solve. 388. A researcher at the Center for Disease Control and... Problem 389RE: In the following exercises, solve. 389. In the last five years the population of the United States... Problem 390RE: In the following exercises, convert from exponential to logarithmic form. 390. 54=625 Problem 391RE: In the following exercises, convert from exponential to logarithmic form. 391. 103=11,000 Problem 392RE: In the following exercises, convert from exponential to logarithmic form. 392. 6315=635 Problem 393RE: In the following exercises, convert from exponential to logarithmic form. 393. ey=16 Problem 394RE: In the following exercises, convert each logarithmic equation to exponential form. 394. 7=log2128 Problem 395RE: In the following exercises, convert each logarithmic equation to exponential form. 395. 5=log100,000 Problem 396RE: In the following exercises, convert each logarithmic equation to exponential form. 396. 4=lnx Problem 397RE: In the following exercises, solve for x. 397. logx125=3 Problem 398RE: In the following exercises, solve for x. 398. log7x=2 Problem 399RE: In the following exercises, solve for x. 399. log12116=x Problem 400RE: In the following exercises, find the exact value of each logarithm without using a calculator. 400.... Problem 401RE: In the following exercises, find the exact value of each logarithm without using a calculator. 401.... Problem 402RE: In the following exercises, find the exact value of each logarithm without using a calculator. 402.... Problem 403RE: In the following exercises, graph each logarithmic function. 403. y=log5x Problem 404RE: In the following exercises, graph each logarithmic function. 404. y=log14x Problem 405RE: In the following exercises, graph each logarithmic function. 405. y=log0.8x Problem 406RE: In the following exercises, solve each logarithmic equation. 406. loga36=5 Problem 407RE: In the following exercises, solve each logarithmic equation. 407. lnx=3 Problem 408RE: In the following exercises, solve each logarithmic equation. 408. log2(5x7)=3 Problem 409RE: In the following exercises, solve each logarithmic equation. 409. lne3x=24 Problem 410RE: In the following exercises, solve each logarithmic equation. 410. log(x221)=2 Problem 411RE: What is the decibel level of a train whistle with intensity 103 watts per square inch? Problem 412RE: In the following exercises, use the properties of logarithms to evaluate. 412. a. log71 b. log1212 Problem 413RE: In the following exercises, use the properties of logarithms to evaluate. 413. a. 5log513 b. log339 Problem 414RE: In the following exercises, use the properties of logarithms to evaluate. 414. a.10log5 b. log103 Problem 415RE: In the following exercises, use the properties of logarithms to evaluate. 415. a. eln8 b. lne5 Problem 416RE: In the following exercises, use the Quotient Property of Logarithms to write each logarithm as a sum... Problem 417RE: In the following exercises, use the Quotient Property of Logarithms to write each logarithm as a sum... Problem 418RE: In the following exercises, use the Quotient Property of Logarithms to write each logarithm as a sum... Problem 419RE: In the following exercises, use the Quotient Property of Logarithms to write each logarithm as a sum... Problem 420RE: In the following exercises, use the Power Property of Logarithms to expand each logarithm. Simplify,... Problem 421RE: In the following exercises, use the Power Property of Logarithms to expand each logarithm. Simplify,... Problem 422RE: In the following exercises, use properties of logarithms to write each logarithm as a sum of... Problem 423RE: In the following exercises, use properties of logarithms to write each logarithm as a sum of... Problem 424RE: In the following exercises, use properties of logarithms to write each logarithm as a sum of... Problem 425RE: In the following exercises, use properties of logarithms to write each logarithm as a sum of... Problem 426RE: In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if... Problem 427RE: In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if... Problem 428RE: In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if... Problem 429RE: In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if... Problem 430RE: In the following exercises, rounding to three decimal places, approximate each logarithm. 430.... Problem 431RE: In the following exercises, rounding to three decimal places, approximate each logarithm. 431.... Problem 432RE: In the following exercises, solve for x. 432. 3log5x=log5216 Problem 433RE: In the following exercises, solve for x. 433. log2x+log2(x2)=3 Problem 434RE: In the following exercises, solve for x. 434. log(x1)log(3x+5)=logx Problem 435RE: In the following exercises, solve for x. 435. log4(x2)+log4(x+5)=log48 Problem 436RE: In the following exercises, solve for x. 436. ln(3x2)=ln(x+4)+ln2 Problem 437RE: In the following exercises, solve each exponential equation. Find the exact answer and then... Problem 438RE: In the following exercises, solve each exponential equation. Find the exact answer and then... Problem 439RE: In the following exercises, solve each exponential equation. Find the exact answer and then... Problem 440RE: In the following exercises, solve each exponential equation. Find the exact answer and then... Problem 441RE: In the following exercises, solve each exponential equation. Find the exact answer and then... Problem 442RE: Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26.... Problem 443RE: Elise invests $4500 in an account that compounds interest monthly and earns 6%. How long will it... Problem 444RE: Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this... Problem 445RE: Mouse populations can double in 8 months (A=2A0) . How long will it take for a mouse population to... Problem 446RE: The half-life of radioactive iodine is 60 days. How much of a 50 mg sample will be left in 40 days? Problem 447PT: For the functions, f(x)=6x+1 and g(x)=8x3, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). Problem 448PT: Determine if the following set of ordered pairs represents a function and if so, is the function... Problem 449PT: Determine whether each graph is the graph of a function and if so, is it one-to-one. Problem 450PT: Graph, on the same coordinate system, the inverse of the one-to-one function shown. Problem 451PT: Find the inverse of the function f(x)=x59. Problem 452PT: Graph the function g(x)=2x3. Problem 453PT: Solve the equation 22x4=64. Problem 454PT: Solve the equation ex2e4=e3x. Problem 455PT: Megan invested $21,000 in a savings account. If the interest rate is 5%, how much will be in the... Problem 456PT: Convert the equation from exponential to logarithmic form: 102=1100. Problem 457PT: Convert the equation from logarithmic equation to exponential form: 3=log7343 Problem 458PT: Solve for x: log5x=3 Problem 459PT: Evaluate log111. Problem 460PT: Evaluate log4164. Problem 461PT: Graph the function y=log3x. Problem 462PT: Solve for x: log(x239)=1 Problem 463PT: What is the decibel level of a small fan with intensity 108 watts per square inch? Problem 464PT: Evaluate each. (a) 6log617 (b) log993 Problem 465PT: In the following exercises, use properties of logarithms to write each expression as sum of... Problem 466PT: In the following exercises, use properties of logarithms to write each expression as sum of... Problem 467PT: In the following exercises, use properties of logarithms to write each expression as sum of... Problem 468PT: In the following exercises, use the Properties of Logarithms to condense the logarithm, simplifying... Problem 469PT: In the following exercises, use the Properties of Logarithms to condense the logarithm, simplifying... Problem 470PT: In the following exercises, use the Properties of Logarithms to condense the logarithm, simplifying... Problem 471PT: In the following exercises, use the Properties of Logarithms to condense the logarithm, simplifying... Problem 472PT: In the following exercises, solve each exponential equation. Find the exact answer and then... Problem 473PT: In the following exercises, solve each exponential equation. Find the exact answer and then... Problem 474PT: In the following exercises, solve each exponential equation. Find the exact answer and then... Problem 475PT: In the following exercises, solve each exponential equation. Find the exact answer and then... Problem 476PT: In the following exercises, solve each exponential equation. Find the exact answer and then... Problem 458PT: Solve for x: log5x=3
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Evaluate the given integration .
Transcribed Image Text: 3 log x
dx
1
(1+x)
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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