Solve for n
n=\log_{3}\left(8.4\right)\approx 1.937199982
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3^{n}-5.4=3
Use the rules of exponents and logarithms to solve the equation.
3^{n}=8.4
Add 5.4 to both sides of the equation.
\log(3^{n})=\log(8.4)
Take the logarithm of both sides of the equation.
n\log(3)=\log(8.4)
The logarithm of a number raised to a power is the power times the logarithm of the number.
n=\frac{\log(8.4)}{\log(3)}
Divide both sides by \log(3).
n=\log_{3}\left(8.4\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
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