Question
Use a calculator to find the value to three decimal places. \( \log (995.086)=\square \)
Ask by Morgan Schneider. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The value of \( \log(995.086) \) is approximately \( 2.698 \).
Solution
Calculate or simplify the expression \( \log(995.086) \).
Calculate the value by following steps:
- step0: Calculate:
\(\log_{10}{\left(995.086\right)}\)
- step1: Convert the expressions:
\(\log_{10}{\left(\frac{497543}{500}\right)}\)
- step2: Rewrite the expression:
\(\log_{10}{\left(497543\right)}-2-\log_{10}{\left(5\right)}\)
The value of \( \log(995.086) \) to three decimal places is approximately \( 2.698 \).
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Simplify this solution The Deep Dive
When you plug \( 995.086 \) into a calculator and compute the logarithm, you’ll find that \( \log (995.086) \approx 2.997 \) when rounded to three decimal places. This is cheeky truth since it’s just a smidge away from the nice round number of 3! Remember, the logarithm tells you what power you need to raise 10 to in order to get to that number. So in this case, you're looking at a number that is very close to 1000, which is \( 10^3 \). Just a fraction under, but still very intriguing!
