Solve for x
x = \frac{\log_{2} {(29)}}{2} \approx 2.428990498
Solve for x (complex solution)
x=\frac{\pi n_{1}i}{\ln(2)}+\frac{\log_{2}\left(29\right)}{2}
n_{1}\in \mathrm{Z}
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4^{x}=29
Use the rules of exponents and logarithms to solve the equation.
\log(4^{x})=\log(29)
Take the logarithm of both sides of the equation.
x\log(4)=\log(29)
The logarithm of a number raised to a power is the power times the logarithm of the number.
x=\frac{\log(29)}{\log(4)}
Divide both sides by \log(4).
x=\log_{4}\left(29\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
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