Solve the following exponential equation by taking the logar

Solve the following exponential equation by taking the logarithm on both sides. Express the solution set in terms of logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.

Solution

e^(6-8x) = 1152

Takinf natural log on both sides:

ln[e^(6-8x)] = ln(1152)

By property : ln(e^x) = x*ln(e)/ln(e) = x

(6-8x) = ln(1152)

6- 8x = 7.049

8x = -1.049

x = - 0.13