Expand the logarithmic expression $\log \left(\frac{\left(1000x\right)^4\sqrt{x-7}}{\left(x^2-49\right)^3}\right)$

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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

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

How to expand an expressions using the distributive property | Algebra I | Khan Academy

https://www.youtube.com/watch?v=V-5q6tKaRuM

Function Plot

Plotting: $4\log \left(x\right)+12-\frac{5}{2}\log \left(x-7\right)-3\log \left(x+7\right)$

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x
y
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.
(◻)
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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: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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