Skip to main content
Solve for x
Tick mark Image
Solve for x (complex solution)
Tick mark Image
Graph

Similar Problems from Web Search

Share

4^{x}=\frac{1}{32}
Use the rules of exponents and logarithms to solve the equation.
\log(4^{x})=\log(\frac{1}{32})
Take the logarithm of both sides of the equation.
x\log(4)=\log(\frac{1}{32})
The logarithm of a number raised to a power is the power times the logarithm of the number.
x=\frac{\log(\frac{1}{32})}{\log(4)}
Divide both sides by \log(4).
x=\log_{4}\left(\frac{1}{32}\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).