An exponential equation is an equation in which variables appear as exponents. The general form is:
\[ a^{x} = b \]
Basic form:
\[ a^{x} = b, \quad a > 0, a \neq 1 \]
Solution:
\[ x = \log_{a} b \]
Properties of Exponents:
Natural Exponential Function:
\[ e^{x} = \lim_{n \to \infty} \left(1 + \frac{x}{n}\right)^n \]
