Solve the exponential equation. Express the solution in terms of natural logarithms. Then use a calculator to obtain a decimal approximation for the solution. e^x = 22.8

Answer: x = ln 22.8; 3.13

Step-by-step explanation:

Given the exponential equation

e^x = 22.8

We apply ln to both sides since only natural logarithm can cancel out exponents.

lne^x = ln 22.8

x = ln 22.8

x = 3.13