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

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 Solution

 Videos

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

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

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

Tutorial - Condensing logarithmic expressions ex 11, 1/2(3log2(x)-2 log2(z))

https://www.youtube.com/watch?v=doNh13E4XBo

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

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

Algebra 2 - Learn how to expand a logarithmic expression with a square root

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

 Function Plot

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

SnapXam A²

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1

2

3

4

5

6

7

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.

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