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# Solve the integral of logarithmic functions $\int\frac{3^x}{\ln\left(3\right)}dx$

## Step-by-step Solution

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sinh
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acosh
atanh
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###  Videos

$\frac{4}{\ln^{2}\left(9\right)}3^x+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\frac{3^x}{\ln\left(3\right)}dx$

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1

Calculating the natural logarithm of $3$

$\int\frac{3^x}{\ln\left(3\right)}dx$

Learn how to solve integrals involving logarithmic functions problems step by step online.

$\int\frac{3^x}{\ln\left(3\right)}dx$

Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the integral of logarithmic functions int((3^x)/(ln(3))dx. Calculating the natural logarithm of 3. Take the constant \frac{1}{\ln\left(3\right)} out of the integral. Divide 1 by \ln\left(3\right). The integral of the exponential function is given by the following formula \displaystyle \int a^xdx=\frac{a^x}{\ln(a)}, where a > 0 and a \neq 1.

$\frac{4}{\ln^{2}\left(9\right)}3^x+C_0$

##  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

Solve int((3^x)/(ln(3))dx using basic integralsSolve int((3^x)/(ln(3))dx using u-substitutionSolve int((3^x)/(ln(3))dx using integration by parts

SnapXam A2

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1
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3
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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

### Main topic:

Integrals involving Logarithmic Functions

~ 0.04 s

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