SOLUTION: Solve the exponential equation. Round to 4 decimal places. Check your answers. 5 - 3^x = - 40

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the exponential equation. Round to 4 decimal places. Check your answers. 5 - 3^x = - 40       Log On


   

Question 595230: Solve the exponential equation. Round to 4 decimal places. Check your answers.
5 - 3^x = - 40
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5+-+3%5Ex=-40

-3%5Ex=-40-5

-3%5Ex=-45

3%5Ex=-45%2F%28-1%29

3%5Ex=45

x=log%283%2C%2845%29%29

x=log%28%2845%29%29%2Flog%28%283%29%29

x=3.4650


So the approximate answer is x=3.4650