Solve for n
n=2
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200=2\times 10^{n}
Divide 16000 by 80 to get 200.
2\times 10^{n}=200
Swap sides so that all variable terms are on the left hand side.
10^{n}=\frac{200}{2}
Divide both sides by 2.
10^{n}=100
Divide 200 by 2 to get 100.
\log(10^{n})=\log(100)
Take the logarithm of both sides of the equation.
n\log(10)=\log(100)
The logarithm of a number raised to a power is the power times the logarithm of the number.
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