Subjects algebra

Logarithm Power 2Aae25

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1. **State the problem:** Simplify the expression $\log(n^3)$. 2. **Recall the logarithm power rule:** For any positive number $a$ and real number $b$, $\log(a^b) = b \log(a)$. 3. **Apply the power rule:** $$\log(n^3) = 3 \log(n)$$ 4. **Explanation:** The logarithm of a power allows us to bring the exponent in front as a multiplier, which simplifies the expression. **Final answer:** $$\log(n^3) = 3 \log(n)$$