Expand the logarithmic expression $\ln\left(\frac{\left(3x+1\right)^3}{\left(2x^2+1\right)\sqrt{x^2+2}}\right)$

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

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

How to use properties of logs to expand an expression with roots

https://www.youtube.com/watch?v=IdcLlCwz4Ok

Expanding a natural logarithmic expression

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

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

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

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

Power Series Representation With Natural Logarithms - Calculus 2

https://www.youtube.com/watch?v=A6JdlY52NFg

Function Plot

Plotting: $3\ln\left(3x+1\right)-\ln\left(2x^2+1\right)-\frac{1}{2}\ln\left(x^2+2\right)$

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a
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n
u
v
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x
y
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.
(◻)
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◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

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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