Solve for x
x=-\frac{3\log(2)}{5}\approx -0.180617997
Solve for x (complex solution)
x=-\frac{2\pi n_{1}i}{5\ln(10)}-\frac{3\log_{10}\left(2\right)}{5}
n_{1}\in \mathrm{Z}
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10^{-5x}=8
Use the rules of exponents and logarithms to solve the equation.
\log(10^{-5x})=\log(8)
Take the logarithm of both sides of the equation.
-5x\log(10)=\log(8)
The logarithm of a number raised to a power is the power times the logarithm of the number.
x=\frac{3\log(2)}{-5}
Divide both sides by -5.
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