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Solve for x (complex solution)
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1073741824=2^{x}
Calculate 32 to the power of 6 and get 1073741824.
2^{x}=1073741824
Swap sides so that all variable terms are on the left hand side.
\log(2^{x})=\log(1073741824)
Take the logarithm of both sides of the equation.
x\log(2)=\log(1073741824)
The logarithm of a number raised to a power is the power times the logarithm of the number.
x=\frac{\log(1073741824)}{\log(2)}
Divide both sides by \log(2).
x=\log_{2}\left(1073741824\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).