Evaluate \(log_{10}5 + log_{10}20\)
Question 1 Report
Evaluate \(log_{10}5 + log_{10}20\)
Answer Details
To evaluate \(log_{10}5 + log_{10}20\), we can use the logarithmic rule that states:
$log_{a}x + log_{a}y = log_{a}(xy)$
Applying this rule, we get:
$log_{10}5 + log_{10}20 = log_{10}(5 \times 20)$
Simplifying the right-hand side:
$log_{10}(5 \times 20) = log_{10}100$
Finally, we know that \(log_{10}100 = 2\), so:
\(log_{10}5 + log_{10}20 = log_{10}100 = 2\)
Therefore, the answer is 2.
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