Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$
$-\ln\left(\sqrt{x}\right)+\ln\left(x^2+4\right)$
2
The difference of two logarithms of equal base $b$ is equal to the logarithm of the quotient: $\log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right)$
$\ln\left(\frac{x^2+4}{\sqrt{x}}\right)$
Final Answer
$\ln\left(\frac{x^2+4}{\sqrt{x}}\right)$
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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.