SOLUTION: I really need help solving this logarithm: 1/3log(subscritpt 4) x = log(sub 4) 4 First I moved the 1/3 and made it an exponent & simplified the other log: Log(sub4) x^1/3 = 1

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Question 563854: I really need help solving this logarithm:
1/3log(subscritpt 4) x = log(sub 4) 4
First I moved the 1/3 and made it an exponent & simplified the other log:
Log(sub4) x^1/3 = 1
Then I switched the equation from a log to exponential form:
4^1 = x^1/3
Next I cube rooted both sides:
1.5874 = x
Now when I plugged x back into the equation the sides were not equal. Can someone please tell me what I am doing wrong?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
1/3log(subscritpt 4) x = log(sub 4) 4
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You took the cube root when you should have cubed.
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