Crawford Chadwick
05/02/2024 · Elementary School
Simplify \( \log _{2} 5+\log _{2} 1.6 \) write fimen answor hi an integurs
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Step-by-step Solution
Calculate or simplify the expression \( \log_{2} 5+\log_{2} 1.6 \).
Calculate the value by following steps:
- step0: Calculate:
\(\log_{2}{\left(5\right)}+\log_{2}{\left(1.6\right)}\)
- step1: Convert the expressions:
\(\log_{2}{\left(5\right)}+\log_{2}{\left(\frac{8}{5}\right)}\)
- step2: Use the logarithm product rule:
\(\log_{2}{\left(5\times \frac{8}{5}\right)}\)
- step3: Multiply the numbers:
\(\log_{2}{\left(8\right)}\)
- step4: Write in exponential form:
\(\log_{2}{\left(2^{3}\right)}\)
- step5: Simplify the expression:
\(3\)
The simplified form of \( \log _{2} 5+\log _{2} 1.6 \) is 3.
Quick Answer
The simplified form is 3.
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