Try now NerdPal! Our new app on iOS and Android

# Solve the exponential equation $3^{4x}=3^{2y}$

## Step-by-step Solution

Go!
Math mode
Text mode
Go!
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

###  Videos

$y=2x$
Got another answer? Verify it here!

##  Step-by-step Solution 

Problem to solve:

$3^{4x}=3^{2y}$

Specify the solving method

1

If the bases are the same, then the exponents must be equal to each other

$4x=2y$

Learn how to solve exponential equations problems step by step online.

$4x=2y$

Learn how to solve exponential equations problems step by step online. Solve the exponential equation 3^(4x)=3^(2y). If the bases are the same, then the exponents must be equal to each other. Rearrange the equation. Divide both sides of the equation by 2. Simplifying the quotients.

$y=2x$

##  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 for xSolve for yFind the derivativeImplicit DifferentiationSolve for y'Find dy/dxDerivative

SnapXam A2

Go!
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

### Main topic:

Exponential Equations

~ 0.04 s

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account