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# Condense the logarithmic expression $\log \left(3\right)x+\log \left(27\right)x$

## Step-by-step Solution

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###  Videos

$\log \left(3^x27^x\right)$
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##  Step-by-step Solution 

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1

Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$, where $a=x$, $b=10$ and $x=27$

$\log \left(3^x\right)+\log \left(27^x\right)$
2

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

$\log \left(3^x27^x\right)$

$\log \left(3^x27^x\right)$

##  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

SimplifyWrite as single logarithmCondense the logarithmExpand the logarithmFind the integralFind the derivativeSolve for x

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7
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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: 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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