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

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##  Final answer to the problem

$y=2x$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for x
• Solve for y
• Find the derivative
• Solve by implicit differentiation
• Solve for y'
• Find dy/dx
• Derivative
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
Can't find a method? Tell us so we can add it.
1

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

$4x=2y$

Learn how to solve problems step by step online.

$4x=2y$

Learn how to solve 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. Take \frac{4}{2} out of the fraction.

##  Final answer to the problem

$y=2x$

##  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

SnapXam A2

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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