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Expand the logarithmic expression $\log_{4}\left(\frac{x^4\sqrt{x^2+3}}{64\left(x+3\right)^5}\right)$

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 Solution

 Formulas

 Videos

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

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

Expanding a natural logarithmic expression

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

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

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 - Learning to solve rational equations in math class ((x+3)/(x‐2)) + (5/(x^2‐4)) = 1

https://www.youtube.com/watch?v=y8p0Tpn3BcI

 Function Plot

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

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8

9

0



a

b

c

d

f

g

m

n

u

v

w

x

y

z

.

(◻)

+

-

×

◻/◻

/

÷

◻²

◻^◻

√◻

√

^◻√◻

^◻√

∞

e

π

ln

log

log_◻

lim

d/dx

D^□_x

∫

∫^◻

|◻|

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)

 Related Topics