Question

Solve the exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal​ approximation, correct to two decimal​ places, for the solution.

Answer 1

e^(6x-5) - 7 = 12,465
e^(6x-5) = 12,465+7 = 12,472
ln[e^(6x-5)] = ln(12,472)
6x - 5 = ln(12,472)
6x = ln(12,472) +5
x = [ln(12,472) +5]/6

x = 2.41