For the following exercises, solve for x by converting the logarithmic equation to exponential form. 27. log sub 2(x) = −3  31. log sub 9(x) = 1/2 35. ln(x) = 2

Q: For the following exercises, rewrite each equation in exponential form. 13. log sub 13(142) = a…

A: Given,  13. log13142 = a  15. lnw = n  We have to rewrite each equation in exponential form.

Q: Recall the formula for calculating the magnitude of an earthquake, M = 2/3log(S/S sub 0). One…

A: The MMS is given by the equation: M=23logSS0 When M=3.9,…

Q: y = log( 2x'Vx² -1) 8.

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Q: ln(x2 − 10) + ln(9) = ln(10

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Q: For the following exercises, find f '(x) for each function. f6) = log (6x* + 3) 120x3 1) In 7(6x*+3)…

A: Find the derivative of the function

Q: For the following equation, find x. 1 log x- log, 27+ log 4 - log 6 wwww 3. 2

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Q: 2. y = loga(x³ + 2x – 2)

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Q: 13. er+ 10 – 10 = -42

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Q: (x² + 1)? dy if y Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

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Q: Y = log, (x-s) 3.

A: As we know from the logarithmic property; If logba=c;  b>0,b≠1,a≠0 then bc=a

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Gven Data The function of the percentage of adult height attained by a girl is f(x)=62+35 log (x-4).…

Q: Is f(x) 0 in the range of the functionf (x) = log(x)? If so, for what value of x? Verify the result.…

A: Given function, fx=logx To check fx=0 in the range of the given function, for what value of x.

Q: = Evaluate the exponential function below from x up to x = 5. ſ((5x¹+2x) (2x³ + 1))dx

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Q: For the following equation, find x. 2 log bx= log9+ log125-log 15 (Type an integer or a simplified…

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Q: For the following exercises, match each function in Figure 17 with the letter corresponding to its…

A: 27)   f(x) = ln(x)   Curve B is correct from your figure 17

Q: 27. e2* – e* – 6=0

A:

Q: How long does it take for $1800 to double if it is invested at 9.5%compounded continuously? Round…

A: Use formula of compounded continuously

Q: Consider the following. 9X + 31 + 2x = 20 (a) Find the exact solution of the exponential equation in…

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Q: How much must be invested today at 10%, compounded continuously, to be worth $271,000 in 10 years?…

A: We need to find principal value P.

Q: Jay wants to invest $5,000 in an account with an interest rate of 8.5% that is compounded…

A: Here we have to find out amount of money.

Q: What is the exponential rule that allows you to do the following? et+C=Cet Why were you allowed to…

A: Given.

Q: How long it will take for an investment of 1000 dollars to double in value if the interest rate is…

A: Given: The initial value is $1000, the future value is $2000, and the interest rate is 8.5% per…

Q: Given the function y = log3 (x – 2) + 1, what is the equation of the asymptote?

A: Equation of the asymptote of the given function y=log3x-2+1

Q: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: For the following exercises, rewrite each equation in exponential form. 7.  log sub a(b)=c 10. log…

A: Consider the given: 7) logab=cIn exponential form,b=ac

Q: For the following questions, solve for x. (a) 8e^5x-3-4 = 6 (b) logx (12-x) = 2

A:

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Given: The percentage of adult height attained by a girl who is x years old can be modeled by…

Q: 3. fix) =x\x° x

A:

Q: For the following exercises, use the definition of a logarithm to solve the equation. 35. 10 −…

A: Given equation is : 10 - 4 ln(9 - 8x) = 6

Q: 23. log(x) – –log(y) + 3log(z)

A: The given expression is logx-12logy+3logz. The following formulae are used in solving the given…

Q: For the following exercises, rewrite each equation in logarithmic form. 17. c ^d = k 19. 19^x = y…

A: using log property:- log ab= b log a

Q: log3 (x + 1) = log, (x + 8) x =?

A: The graph is shown of below:

Q: For the following problems, solve for the variable. Show all steps. a) log6n = (1/2)log664 b)…

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Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A:

Q: How is the logarithmic function y = log,(x) defined? %3D It is defined as the inverse of the…

A: the give function is  to solve for x, write b to the power both sides

Q: For the exponential function f(x) = a%, where a> 1, is the function increasing or decreasing over…

A: The give exponential function is f(x) = ax, where a > 1

Q: loga (M/N ) = _________ - ____________ .

A: We know Division property of logarithm is, when we divide two values with same base, we subtract the…

Q: Solve for t using natural logarithms. 30 = 100e -0.041 Round your answer to three decimal places. t…

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Q: How is the logarithmic function f(x)=logb X is related to the exponential function g(x)=b^x What…

A: Given function

Q: For an exponential function f(x) = ab" changing the value for c will change the

A: The given function is f(x)=abcx. The function is an exponent function therefore answer the given…

Q: The population of a culture of bacteria is modeled by the logistic equation   P (t) = 14,250 / 1+29e…

A:

Q: The percentage of adult height attained by girls who are x years old can be modeled by f(x)=62+35…

A: The percentage of adult height attained by girls who are x years old can be modeled by fx=62+35…

Q: Consider the following. 4x/12 = 0.9 E (a) Find the exact solution of the exponential equation in…

A: We have to solve

Q: Is the function f(x) of exponential order?

A: Hey, since there are multiple subparts posted, we will answer first 3 questions. If you want any…

Q: For the following questions, solve for x. (a) 8e5x-3 – 4 = 6 (b) log,(12 – x) = 2 -

A:

Q: 00 dx 2- So V- log x

A:

Q: 23.10e8x +3 + 2 = 8 6661

A: Given: 1) er+10-10=-42 2) 10e8x+3+2=8

Q: For the following exercises, sketch the graphs of each pair of functions on the same axis. 34. f(x)…

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Q: For a X2 equals to 20, compute and compare the values of Y for log(X1) equals to 0.250 and 0.500.…

A: Given: logY=-0.6838+0.5921*logX1+0.0394*X2