SOLUTION: 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 to the x power = 2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 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 to the x power = 2      Log On


   



Question 703913: 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 to the x power = 22.8
I do not fully understand how to do this.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Use the inverse of the exponential function, the natural logarithm function.

Given, e%5Ex=22.8,
Apply the inverse function, ln%28e%5Ex%29=ln%2822.8%29
x=ln%2822.8%29

You can use a scientific calculator or use a table of logarithms.