SOLUTION: How do I figure out this problem? Log subscript x, 4=1/3

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Question 246776: How do I figure out this problem?
Log subscript x, 4=1/3
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x%2C+%284%29%29+=+1%2F3
When solving for a variable which is in the base or the argument to a logarithm, you will, as a general rule, rewrite the equation in exponential form. To do this we need to remember that log%28a%2C+%28p%29%29+=+q is equivalent to p+=+a%5Eq. Using this on your equation we get:
4+=+x%5E%281%2F3%29
Our answer will be "x = some-number" or "some-number = x". These x's do not have a visible exponent. But they do have an exponent. Invisible exponents are 1's. So we want to change x%5E%281%2F3%29 to x%5E1 somehow. This can be done easily if we know how exponents work. (Hint: %28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29) We just raise each side to the 3rd power:
%284%29%5E3+=+%28x%5E%281%2F3%29%29%5E3
which gives us:
64+=+x%5E1
or
64+=+x