SOLUTION: what is the solution of 1+3logx=logx+logxto the 3rd power

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Question 76391: what is the solution of 1+3logx=logx+logxto the 3rd power
Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the solution of 1+3logx=logx+logxto the 3rd power
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1+3logx = logx + logx^3
1 + 3logx = logx + 3logx
logx = 1
x=10
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Cheers,
Stan H.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
1%2B3log%28x%29+=+log%28x%29%2Blog%28x%29%5E3 Apply the law of exponents for logarithms to the left-hand side.
1%2Blog%28x%29%5E3+=+log%28x%29%2Blog%28x%29%5E3 Subtract log%28x%29%5E3 from both sides.
1+=+log%28x%29 Rewrite the this in exponential form.
x+=+10%5E1
Solution:
x = 10