SOLUTION: Find the solution of the exponential equation 8^(-x/5)=10

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the solution of the exponential equation 8^(-x/5)=10       Log On


   

Question 877636: Find the solution of the exponential equation
8^(-x/5)=10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
8%5E%28-x%2F5%29%5E%22%22=10


-x%2F5=log%288%2C%2810%29%29 Convert to logarithmic form.


x=-5%2Alog%288%2C%2810%29%29