Questions: log t^9

Transcript text: \[ \log t^{9} \]

Solution

To express \(\log t^9\) as a product, we can use the logarithm power rule, which states that \(\log(a^b) = b \log(a)\).

Solution Approach

Step 1: Apply the Logarithm Power Rule

To express \(\log t^9\) as a product, we use the logarithm power rule, which states that \(\log(a^b) = b \log(a)\).

Step 2: Simplify the Expression

Using the logarithm power rule, we can rewrite \(\log t^9\) as: \[ \log t^9 = 9 \log t \]

\[ \boxed{9 \log t} \]

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