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Exercise

$ln\left(\frac{x}{\sqrt{x^2+8}}\right)$

Step-by-step Solution

1

Apply the formula: $\ln\left(\frac{a}{b}\right)$$=\ln\left(a\right)-\ln\left(b\right)$, where $a=x$ and $b=\sqrt{x^2+8}$

$\ln\left(x\right)-\ln\left(\sqrt{x^2+8}\right)$

Final answer to the exercise

$\ln\left(x\right)-\ln\left(\sqrt{x^2+8}\right)$

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Main Topic: Expanding Logarithms

Logarithm expansion consists of applying the properties of logarithms to express a single logarithm in multiple logarithms, usually much simpler.

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