SOLUTION: Hi I am studying for a test and can not figure out how to solve 9^(-3x)=7. Could you show me step by step how to solve it? Thank you!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hi I am studying for a test and can not figure out how to solve 9^(-3x)=7. Could you show me step by step how to solve it? Thank you!      Log On


   

Question 417394: Hi I am studying for a test and can not figure out how to solve 9^(-3x)=7. Could you show me step by step how to solve it? Thank you!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
9%5E%28-3x%29=7
log%289%5E%28-3x%29%29+=+log%287%29
-3x*log(9) = log(7)
-3x = log(7)/log(9)
x = -log(7)/(3*log(9))
x =~ -0.2952