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

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Question 283053: Solve
log[8](x) = 2/3

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

With an equation in this form and with the variable in the argument of the logarithm, you just rewrite the equation in exponential form:

and simplify. If you have trouble with fractional exponents, look at the fraction in a factored form. For 2/3 this can be or . 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


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