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

Question 246776: How do I figure out this problem?
Log subscript x, 4=1/3
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

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 is equivalent to . Using this on your equation we get:

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 to somehow. This can be done easily if we know how exponents work. (Hint: ) We just raise each side to the 3rd power:

which gives us:

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