The difference of two logarithms of equal base $b$ is equal to the logarithm of the quotient: $\log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right)$
$\log \left(\frac{51.43}{\frac{2038}{25}}\right)$
2
Divide $51.43$ by $\frac{2038}{25}$
$\log \left(0.6308881\right)$
Final answer to the problem
$\log \left(0.6308881\right)$
Exact Numeric Answer
$-0.2$
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Combining or condensing logarithms consists of rewriting a mathematical expression with several logarithms into a single logarithm, by applying the properties of logarithms.