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Expand the logarithmic expression $x\ln\left(x\right)$

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Pre-Calculus - Condensing a logarithmic expression to one logarithm 2[3lnx - ln(x+1)-ln(x-1)]

https://www.youtube.com/watch?v=HS0--oEAT4I

How to rewrite a logarithmic expression as one single logarithm

https://www.youtube.com/watch?v=JWI06mfSrh0

Pre-Calculus - Using the Properties of Logs to Simplify an Expression

https://www.youtube.com/watch?v=kIxqpTQQ4e0

Tutorial - Condensing logarithmic expressions ex 11, 1/2(3log2(x)-2 log2(z))

https://www.youtube.com/watch?v=doNh13E4XBo

Expanding logarithmic expressions

https://www.youtube.com/watch?v=bXInK_caa9Y

Evaluate a Natural Logarithm Without a Calculator

https://www.youtube.com/watch?v=EYgixFU9ZkY

Derivative

$\frac{d}{dx}\left(x\ln\left(x\right)\right)=\ln\left(x\right)+\frac{x}{x}$ See full solution

Integral

$\int x\ln\left(x\right)dx=\frac{1}{2}x^2\ln\left(x\right)-\frac{1}{4}x^2+C_0$ See full solution

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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