Questions: /40 log3(81)=

Transcript text: $\frac{\mid}{40} \log _{3}(81)=$

Solution

Step 1: Evaluate the Logarithm

We start by evaluating the logarithm $ \log_{3}(81) $. Since $ 81 = 3^4 $, we have: \[ \log_{3}(81) = 4 \]

Step 2: Perform the Division

Next, we divide the result of the logarithm by 40: \[ \frac{4}{40} \]

Step 3: Simplify the Fraction

We simplify the fraction $ \frac{4}{40} $ to obtain: \[ \frac{4}{40} = \frac{1}{10} \]

$\boxed{\frac{1}{10}}$

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