Solve for p
p=\frac{2}{3}\approx 0.666666667
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64^{p}=16
Use the rules of exponents and logarithms to solve the equation.
\log(64^{p})=\log(16)
Take the logarithm of both sides of the equation.
p\log(64)=\log(16)
The logarithm of a number raised to a power is the power times the logarithm of the number.
p=\frac{\log(16)}{\log(64)}
Divide both sides by \log(64).
p=\log_{64}\left(16\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
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