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# Expand the logarithmic expression $\ln\left(\frac{\pi }{9}\right)$

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e
π
ln
log
log
lim
d/dx
Dx
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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

##  Final answer to the problem

$\ln\left(\pi \right)-\ln\left(9\right)$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Condense the logarithm
• Expand the logarithm
• Simplify
• Find the integral
• Find the derivative
• Write as single logarithm
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
Can't find a method? Tell us so we can add it.
1

The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator

$\ln\left(\pi \right)-\ln\left(9\right)$

##  Final answer to the problem

$\ln\left(\pi \right)-\ln\left(9\right)$

$-1.052495$

##  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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1
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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
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: Expanding Logarithms

Logarithm expansion consists of applying the properties of logarithms to express a single logarithm in multiple logarithms, usually much simpler.