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

Step-by-step Solution

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$y=2x$
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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.

$y=2x$

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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

Main Topic: Exponential Equations

Exponential equations are those where the unknown appears only in the exponents of powers of constant bases.