Question
Write the expression as a logarithm of a single number or expression, and then simplify if possible. Enter only the simplified expression and do not calculate the log \( \log (2.7)+\log (4)= \)
Ask by Jimenez Rojas. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \log(54) - \log(5) \)
Solution
Calculate or simplify the expression \( \log(2.7)+\log(4) \).
Calculate the value by following steps:
- step0: Calculate:
\(\log_{10}{\left(2.7\right)}+\log_{10}{\left(4\right)}\)
- step1: Convert the expressions:
\(\log_{10}{\left(\frac{27}{10}\right)}+\log_{10}{\left(4\right)}\)
- step2: Use the logarithm product rule:
\(\log_{10}{\left(\frac{27}{10}\times 4\right)}\)
- step3: Multiply the numbers:
\(\log_{10}{\left(\frac{54}{5}\right)}\)
- step4: Rewrite the expression:
\(\log_{10}{\left(54\right)}-\log_{10}{\left(5\right)}\)
The expression \( \log(2.7)+\log(4) \) can be simplified to \( \log_{10}(54) - \log_{10}(5) \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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\(\log (10.8)\)