all Thoughts Y.×%45, Exp & Log ix Luxury Designer ×TFin Fanatic C www.webassign.

Question

all Thoughts Y.×%45, Exp & Log ix Luxury Designer ×TFin Fanatic C www.webassign.net/web/Student Assignment tmm t?dep 16501841 , 4(1+10- (e) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator to find an approximation to the solution rounded to six decimal places. Need Help? Wlatch 11. 0-1 points SAIgTrig4 45.029. Consider the following. 6+ e-x-25 (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator to find an approximation to the solution rounded to six decimal places. Consider the following (a) Find the exact solution of the exponential equation in terms of logarithms.

Explanation / Answer

4(1 + 10^(9x)) = 9

Divide by 4 :
1 + 10^(9x) = 9/4

10^(9x) = 9/4 - 1

10^(9x) = 5/4

9x* ln(10) = ln(5/4)

x = ln(5/4) / ((9ln(10)) ---> ANSWER

Calc : 0.010768

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6 + e^(1-2x) = 25

e^(1 - 2x) = 19

1 - 2x = ln(19)

2x = 1 - ln(19)

x = (1 - ln(19)) / 2 --- >ANSWER

Calc : -0.972219

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