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# Condense the logarithmic expression $\log \left(\frac{1}{2}\right)\cdot 32$

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asinh
acosh
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##  Final answer to the problem

$\log \left(\frac{1}{2147483647}\right)$
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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

Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$, where $a=32$, $b=10$ and $x=\frac{1}{2}$

$\log \left(\left(\frac{1}{2}\right)^{32}\right)$
2

Calculate the power $\left(\frac{1}{2}\right)^{32}$

$\log \left(\frac{1}{2147483647}\right)$

##  Final answer to the problem

$\log \left(\frac{1}{2147483647}\right)$

##  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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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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: Condensing Logarithms

Combining or condensing logarithms consists of rewriting a mathematical expression with several logarithms into a single logarithm, by applying the properties of logarithms.