Expand the logarithmic expression $\log \left(\frac{100x^5\sqrt[3]{2-x}}{7\left(x+4\right)^2}\right)$

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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

Algebra 1 - Solve an equation with a rational term 1/x= 3+ 7/x^2+7x ex 2

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

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

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

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

Algebra 2 - converting between logarithmic and exponential form 15^3 = 3375, log125 (5) = 1/3

https://www.youtube.com/watch?v=u-vlkoXUrFg

Function Plot

Plotting: $5\log \left(x\right)+\frac{1}{3}\log \left(2-x\right)+2-2\log \left(x+4\right)-\log \left(7\right)$

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◻/◻
/
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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.

Used Formulas

See formulas (2)

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