SOLUTION: Solve log[8](x) = 2/3

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Question 283053: Solve
log[8](x) = 2/3
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
log%288%2C+%28x%29%29+=+2%2F3
With an equation in this form and with the variable in the argument of the logarithm, you just rewrite the equation in exponential form:
x+=+8%5E%282%2F3%29
and simplify. If you have trouble with fractional exponents, look at the fraction in a factored form. For 2/3 this can be 2%2A%281%2F3%29 or %281%2F3%29%2A2. Either way the factor of two means we're going to square something and the factor of 1/3 means we are going to find a cube root. And we can do this things in either order:

or
x+=+8%5E%282%2F3%29+=+8%5E%28%281%2F3%29%2A2%29+=+%288%5E%281%2F3%29%29%5E2+=+2%5E2+=+4