Exponential Equations

To solve for $x$ in an equation of the form $a^{x}=b$, we can apply the logarithm function with base $a$ to both sides of the equation.

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