Solve for x
x=3
Solve for x (complex solution)
x=\frac{2\pi n_{1}i}{\ln(5)}+3
n_{1}\in \mathrm{Z}
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5^{x}-125=0
Use the rules of exponents and logarithms to solve the equation.
5^{x}=125
Add 125 to both sides of the equation.
\log(5^{x})=\log(125)
Take the logarithm of both sides of the equation.
x\log(5)=\log(125)
The logarithm of a number raised to a power is the power times the logarithm of the number.
x=\frac{\log(125)}{\log(5)}
Divide both sides by \log(5).
x=\log_{5}\left(125\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
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