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# Simplify the expression $f\left(x\right)=\ln\left(\sqrt{x+1}\right)$

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##  Final answer to the problem

$f\left(x\right)=\frac{1}{2}\ln\left(x+1\right)$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
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Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$

$f\left(x\right)=\frac{1}{2}\ln\left(x+1\right)$

##  Final answer to the problem

$f\left(x\right)=\frac{1}{2}\ln\left(x+1\right)$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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7
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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
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

###  Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.