SOLUTION: Solve: 63^x = 7.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve: 63^x = 7.      Log On


   

Question 91592: Solve: 63^x = 7.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You would use logarithms to solve an exponential problem like this.
63%5Ex+=+7 Take the log of both sides.
log%2863%5Ex%29+=+log%287%29 Apply the power rule to the left side. (log%28M%5Ea%29+=+a%2Alog%28M%29), so for your problem, you get:
x%2Alog%2863%29+=+log%287%29 Divide both sides by log%2863%29
x+=+%28log%287%29%29%2Flog%2863%29 Evaluate:
x+=+0.46967 Approximately.