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evaluate: \\(\\log_{6}1,296 = \\square\\) done

Question

evaluate: \\(\log_{6}1,296 = \square\\) done

Explanation:

Step1: Recall the definition of logarithm

The logarithm $\log_{b}a = x$ is equivalent to $b^{x}=a$. So for $\log_{6}1296$, we need to find $x$ such that $6^{x}=1296$.

Step2: Find the power of 6 that gives 1296

We know that $6^{1} = 6$, $6^{2}=36$, $6^{3}=216$, $6^{4}=6\times6\times6\times6 = 1296$.

Answer:

4