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Solve for x
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Solve for x (complex solution)
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\frac{1}{8}\times 10^{x}=1250
Use the rules of exponents and logarithms to solve the equation.
10^{x}=10000
Multiply both sides by 8.
\log(10^{x})=\log(10000)
Take the logarithm of both sides of the equation.
x\log(10)=\log(10000)
The logarithm of a number raised to a power is the power times the logarithm of the number.