Mcdonald Grant
06/25/2023 · Junior High School
Use properties of logarithms to find the exact value of the expression. Do not use a calculator. \( \log _{6} 48-\log _{6} 8 \) \( \log _{6} 48-\log _{6} 8=\square \) (Type an integer or a simplified fraction.)
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Step-by-step Solution
Calculate or simplify the expression \( \log_{6}(48)-\log_{6}(8) \).
Calculate the value by following steps:
- step0: Calculate:
\(\log_{6}{\left(48\right)}-\log_{6}{\left(8\right)}\)
- step1: Use the logarithm product rule:
\(\log_{6}{\left(\frac{48}{8}\right)}\)
- step2: Divide the terms:
\(\log_{6}{\left(6\right)}\)
- step3: Simplify the expression:
\(1\)
The exact value of the expression \( \log_{6} 48 - \log_{6} 8 \) is 1.
Quick Answer
The exact value is 1.
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