SOLUTION: I need to use the change of base formula to solve 3^2x=15

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I need to use the change of base formula to solve 3^2x=15       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 197861: I need to use the change of base formula to solve 3^2x=15
Answer by Alan3354(21583) About Me  (Show Source):
You can put this solution on YOUR website!
3^2x=15
---------
To solve for x:
log(3^2x) = log(15) common logs, base 10. Natural logs would work too.
2x*log(3) = log(15)
2x = log(15)/log(3)
x = log(15)/2log(3)
x = log(15)/log(9)
x = ~ 1.2325