Questions: /40 log3(81)=

/40 log3(81)=
Transcript text: $\frac{\mid}{40} \log _{3}(81)=$
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Solution

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Solution Steps

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: \[ \frac{4}{40} = \frac{1}{10} \]

Final Answer

\(\boxed{\frac{1}{10}}\)

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