Expand the logarithmic expression $\log_{2}\left(32\right)$

Step-by-step Solution

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e
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ln
log
log
lim
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>
<
>=
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sin
cos
tan
cot
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asin
acos
atan
acot
asec
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Final answer to the problem

$5$
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Step-by-step Solution

How should I solve this problem?

  • Expand the logarithm
  • Condense 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
  • Integrate by substitution
  • Load more...
Can't find a method? Tell us so we can add it.
1

Decompose $32$ in it's prime factors

$\log_{2}\left(2^{5}\right)$
2

Use the following rule for logarithms: $\log_b(b^k)=k$

$5$

Final answer to the problem

$5$

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Function Plot

Plotting: $5$

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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
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

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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