Logarithmic Equations

To solve for $x$ in an equation of the form $\log_{a}(x)=b$, we can apply the exponential function with base $a$ to both sides of the equation.

1. If $\log_{a}(x)=b$, then $a^{\log_{a}(x)}=a^{b}$. This simplifies to $x=a^{b}$ since the logarithmic and exponential functions with base $a$ are inverses of each other.