Solve for n
n=\frac{3}{4}=0.75
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16^{n}=8
Use the rules of exponents and logarithms to solve the equation.
\log(16^{n})=\log(8)
Take the logarithm of both sides of the equation.
n\log(16)=\log(8)
The logarithm of a number raised to a power is the power times the logarithm of the number.
n=\frac{\log(8)}{\log(16)}
Divide both sides by \log(16).
n=\log_{16}\left(8\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
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