SOLUTION: 5^(8x)= 115 Solve for x. Show all the work.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 5^(8x)= 115 Solve for x. Show all the work.      Log On


   

Question 849001: 5^(8x)= 115
Solve for x. Show all the work.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
5%5E%288x%29=20%2A5%2B3%2A5
5%5E%288x%29=23%2A5
8x%2Alog%28%285%29%29=log%28%2823%29%29%2Blog%28%285%29%29
x=%281%2F8%29%28log%28%2823%29%29%2Blog%28%285%29%29%29%2Flog%28%285%29%29
x=%281%2F8%29%28log%28%2823%29%29%2Flog%28%285%29%29%2B1%29

Decide which base you want. Usual choice would be between e and 10.