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Solve for x
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Solve for x (complex solution)
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10^{x+1}=4
Use the rules of exponents and logarithms to solve the equation.
\log(10^{x+1})=\log(4)
Take the logarithm of both sides of the equation.
\left(x+1\right)\log(10)=\log(4)
The logarithm of a number raised to a power is the power times the logarithm of the number.
x=2\log(2)-1
Subtract 1 from both sides of the equation.