Question
What is the value of the following logarithmic expression? (round your_answer to the nearest hundredth)? \( y=\log 81 \) 1.91 4.89 4.49 1.55
Ask by Greene Hampton. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( y \approx 1.91 \)
Solution
To evaluate the logarithmic expression \( y = \log 81 \), we'll assume the logarithm is base 10 since no base is specified.
\[
\log_{10}(81) \approx 1.908485
\]
Rounding this value to the nearest hundredth gives:
\[
y \approx 1.91
\]
**Answer:** 1.91
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Simplify this solution Bonus Knowledge
To find the value of \( y = \log 81 \), you can rewrite 81 as \( 3^4 \). Therefore, \( y = \log(3^4) = 4 \log 3 \). Since \( \log 3 \) is approximately 0.477, we can calculate \( y = 4 \times 0.477 \approx 1.908 \). Rounding to the nearest hundredth gives you \( y \approx 1.91 \). So the answer is 1.91!
