SOLUTION: How do i solve an equation with the variable in the exponent? I know i have to use logs but i do not know how.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do i solve an equation with the variable in the exponent? I know i have to use logs but i do not know how.      Log On


   

Question 310655: How do i solve an equation with the variable in the exponent? I know i have to use logs but i do not know how.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Two examples:
5%5E%282x%29=10
log%285%2C5%5E%282x%29%29=log%285%2C10%29
2x=log%285%2C10%29
x=%281%2F2%29log%285%2C10%29
.
.
.
8%5E%28x-3%29=2%5E%282x%29
%282%5E3%29%5E%28x-3%29=2%5E%282x%29
2%5E%283%28x-3%29%29=2%5E%282x%29
log%282%2C2%5E%283%28x-3%29%29%29=log%282%2C2%5E%282x%29%29
3%28x-3%29=2x
3x-9=2x
x=9