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... format_list_bulleted