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-1}=16
Use the rules of exponents and logarithms to solve the equation.
\log(4^{x-1})=\log(16)
Take the logarithm of both sides of the equation.
\left(x-1\right)\log(4)=\log(16)
The logarithm of a number raised to a power is the power times the logarithm of the number.
x-1=\frac{\log(16)}{\log(4)}
Divide both sides by \log(4).
x-1=\log_{4}\left(16\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
x=2-\left(-1\right)
Add 1 to both sides of the equation.