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Solve for x
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Solve for x (complex solution)
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10^{\frac{1}{2}x}=5
Use the rules of exponents and logarithms to solve the equation.
\log(10^{\frac{1}{2}x})=\log(5)
Take the logarithm of both sides of the equation.
\frac{1}{2}x\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)}{\frac{1}{2}}
Multiply both sides by 2.