Exponent Equation 855302

1. **Stating the problem:** Solve for $x$ in the equation $5^x = 625$. 2. **Recall the formula:** When you have an equation of the form $a^x = b$, you can solve for $x$ by expressing $b$ as a power of $a$ if possible. 3. **Express 625 as a power of 5:** Since $625 = 5^4$, rewrite the equation as: $$5^x = 5^4$$ 4. **Equate the exponents:** Because the bases are the same and non-zero, the exponents must be equal: $$x = 4$$ 5. **Final answer:** $x = 4$