Questions: log t^9

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

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Solution Steps

To express logt9\log t^9 as a product, we can use the logarithm power rule, which states that log(ab)=blog(a)\log(a^b) = b \log(a).

Solution Approach
  1. Apply the logarithm power rule to the given expression.
Step 1: Apply the Logarithm Power Rule

To express logt9\log t^9 as a product, we use the logarithm power rule, which states that log(ab)=blog(a)\log(a^b) = b \log(a).

Step 2: Simplify the Expression

Using the logarithm power rule, we can rewrite logt9\log t^9 as: logt9=9logt \log t^9 = 9 \log t

Final Answer

9logt \boxed{9 \log t}

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