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Condense the logarithmic expression $\log_{4}\left(2\right)+\log_{4}\left(32\right)$

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Solution

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Final answer to the problem

$3$
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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
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1

The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments

Learn how to solve condensing logarithms problems step by step online.

$\log_{4}\left(2\cdot 32\right)$

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Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression log4(2)+log4(32). The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments. Multiply 2 times 32. Decompose 64 in it's prime factors. Use the following rule for logarithms: \log_b(b^k)=k.

Final answer to the problem

$3$

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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

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Similar Problems Solved

$\log\left(4\right)64$

$3\ln\left(a\right)-\frac{1}{2}\left(\ln\left(b\right)+\ln\left(c^2\right)\right)$

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$\ln\left(x\right)+4\ln\left(y\right)$

$2\ln\left(3x\right)$

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

$\log_3\left(b\right)+\log_3\left(b+2\right)$

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.

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