Condense the logarithmic expression $\log_{6}\left(9\right)+\log_{6}\left(4\right)$

Step-by-step Solution

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acosh
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Final answer to the problem

$2$
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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
  • Load more...
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The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments

$\log_{6}\left(9\cdot 4\right)$

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

$\log_{6}\left(9\cdot 4\right)$

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Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression log6(9)+log6(4). The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments. Multiply 9 times 4. Decompose 36 in it's prime factors. Use the following rule for logarithms: \log_b(b^k)=k.

Final answer to the problem

$2$

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5
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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
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: 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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