SOLUTION: 3^X=243

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 3^X=243      Log On


   

Question 186959: 3^X=243
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
3%5Ex+=+243 Take the logarithm of both sides.
log%28%283%29%29%5Ex+=+log%28%28243%29%29 Apply the power rule for logs to the left side.
x%2Alog%28%283%29%29+=+log%28%28243%29%29 Divide both sides by log%28%283%29%29
x+=+log%28%28243%29%29%2Flog%28%283%29%29 Evaluate this using your calculator.
highlight%28x+=+5%29
Check:
3%5Ex+=+243 Substitute x = 5.
3%5E5+=+243 Evaluate the left side.
243+=+243 OK!