Solve for n
n=4
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9^{2n}=43046721
Use the rules of exponents and logarithms to solve the equation.
\log(9^{2n})=\log(43046721)
Take the logarithm of both sides of the equation.
2n\log(9)=\log(43046721)
The logarithm of a number raised to a power is the power times the logarithm of the number.
2n=\frac{\log(43046721)}{\log(9)}
Divide both sides by \log(9).
2n=\log_{9}\left(43046721\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
n=\frac{8}{2}
Divide both sides by 2.
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