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Expanding Logarithms


Definition

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


Problems Solved

$\log_3\left(5x-2\right)^2$
$ln\left(\frac{\left(1+x\right)}{\left(1-x\right)}\right)$
$\log_2\left(x^4-1\right)$
$\ln\left(\frac{1+x}{1-x}\right)$
$x^{\frac{3}{2}}\:ln\left(x\right)$
$F'\left(x\right)\ln\left(\frac{x^5}{3x^2+6x+2}\right)$
$x\:\ln\sqrt{x+1}$
$x\ln\sqrt{x+1}$

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Condensing Logarithms

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