Solve for x
x=\frac{\log(5)}{4}\approx 0.174742501
Solve for x (complex solution)
x=\frac{\pi n_{1}i}{2\ln(10)}+\frac{\log_{10}\left(5\right)}{4}
n_{1}\in \mathrm{Z}
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10^{4x}=5
Use the rules of exponents and logarithms to solve the equation.
\log(10^{4x})=\log(5)
Take the logarithm of both sides of the equation.
4x\log(10)=\log(5)
The logarithm of a number raised to a power is the power times the logarithm of the number.
x=\frac{\log(5)}{4}
Divide both sides by 4.
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