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Simplify: log base 10 of 4 + log base 10 of 25

March 19, 2026Mathematics

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Answer

2

3 steps

Apply the sum of logarithms property $\log_b m + \log_b n = \log_b (m n)$ .
$\log_{10} 4 + \log_{10} 25 = \log_{10} (4 \cdot 25)$
Multiply the arguments.
$4 \cdot 25 = 100$
Substitute:
$\log_{10} (4 \cdot 25) = \log_{10} 100$
Evaluate $\log_{10} 100$ .
Since $10^{2} = 100$ ,
$\log_{10} 100 = 2$
Final answer: 2

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