SOLUTION: Solve the equation. Find the exact solution. logx(64)=3/4 The solution is x= I have no idea how to solve this problem so any explanation and answer would be greatly appricia

Question 888239: Solve the equation. Find the exact solution.
logx(64)=3/4
The solution is x=
I have no idea how to solve this problem so any explanation and answer would be greatly appriciated! thank you (:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve the equation. Find the exact solution.
logx(64)=3/4
base(x) raised to log of number(3/4)=number(64)
This is one of the definitions of logarithms
So, x^(3/4)=64
raise both sides to the 4/3 power
x=64^(4/3)
take cube root of 64 raised to the 4th power
x=3^4=81
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