Subjects algebra

Logarithm Evaluation Add506

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1. The problem is to evaluate $\log_3(9)$.\n\n2. Recall the definition of logarithm: $\log_b(a) = c$ means $b^c = a$. Here, $b=3$, $a=9$, and we want to find $c$.\n\n3. We want to find $c$ such that $3^c = 9$.\n\n4. Since $9 = 3^2$, we have $3^c = 3^2$.\n\n5. By the property of equality of exponents with the same base, $c = 2$.\n\n6. Therefore, $\log_3(9) = 2$.