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Solve for x
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Solve for x (complex solution)
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5\times 3^{x}=20
Use the rules of exponents and logarithms to solve the equation.
3^{x}=4
Divide both sides by 5.
\log(3^{x})=\log(4)
Take the logarithm of both sides of the equation.
x\log(3)=\log(4)
The logarithm of a number raised to a power is the power times the logarithm of the number.
x=\frac{\log(4)}{\log(3)}
Divide both sides by \log(3).
x=\log_{3}\left(4\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).