SOLUTION: Solve the following equation for x: 3^2^x =15 not sure how to solve this. Ive been looking for examples but have had no luck on it. Thank you in advance for your help!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the following equation for x: 3^2^x =15 not sure how to solve this. Ive been looking for examples but have had no luck on it. Thank you in advance for your help!      Log On


   

Question 160168: Solve the following equation for x:
3^2^x =15
not sure how to solve this. Ive been looking for examples but have had no luck on it.
Thank you in advance for your help!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Are you sure that the problem is correctly stated? It looks a bit "strange" but here goes:
Solve for x:
3%5E%282%5Ex%29+=+15 But %283%5E2%29%5Ex+=+9%5Ex so substitute:
9%5Ex+=+15 Take the log of both sides.
log%28%289%5Ex%29%29+=+log%28%2815%29%29Apply the power rule for logs to the left side:log%28%28a%5En%29%29+=+n%2Alog%28%28a%29%29
%28x%29log%289%29+=+log%2815%29 Divide both sides by log(9)
x+=+%28log%28%2815%29%29%29%2Flog%28%289%29%29 Evaluate the right side.
x+=+1.2325