SOLUTION: (log x)^3=log x^3 Please help I am not coming up with the right answer!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: (log x)^3=log x^3 Please help I am not coming up with the right answer!      Log On


   

Question 468334: (log x)^3=log x^3 Please help I am not coming up with the right answer!
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
%28log+x%29%5E3+=+log+x%5E3
Use log property
log+x%5En+=+n%2Alog+x
%28log+x%29%5E3+=+3%2Alog+x
Divide by (log x) on both sides
%28log+x%29%5E2+=+3
Take square root of both sides
log+x+=+sqrt%283%29
**Assuming this is log base 10**
Rewrite in exponential form
x+=+10%5Esqrt%283%29
This yields 2 solutions (there should be plus-minus in front of radical):
x = 53.957 and x = 0.0185