Solve for m
m=3
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36\times 6^{m}=7776
Use the rules of exponents and logarithms to solve the equation.
6^{m}=216
Divide both sides by 36.
\log(6^{m})=\log(216)
Take the logarithm of both sides of the equation.
m\log(6)=\log(216)
The logarithm of a number raised to a power is the power times the logarithm of the number.
m=\frac{\log(216)}{\log(6)}
Divide both sides by \log(6).
m=\log_{6}\left(216\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
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