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Expand the logarithmic expression $\ln\left(e^{-11y}\right)$

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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

Expanding a natural logarithmic expression

https://www.youtube.com/watch?v=F-YgwOUB0Oo

Tutorial - Expanding logarithmic expressions ex 15, ln (cuberoot(x^(2/3)) / (y^4 z^1/2))

https://www.youtube.com/watch?v=FuTxSQEwZD4

Tutorial - Condensing logarithmic expressions ex 12, 1/3(2ln(x+3)+lnx-ln(x^2-1))

https://www.youtube.com/watch?v=l8AE8UzknbY

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

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

Expanding logarithmic expressions

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

Derivative

$\frac{d}{dy}\left(\ln\left(e^{-11y}\right)\right)=-11$ See step-by-step solution

Integral

$\int\ln\left(e^{-11y}\right)dy=-\frac{11}{2}y^2+C_0$ See step-by-step 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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