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

Step-by-step Solution

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Solution

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Final Answer

$y=2x$
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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.

$4x=2y$

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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.

Final Answer

$y=2x$

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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

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1
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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
D□x
∫
∫◻
|◻|
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

How to improve your answer:

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Main topic:

Exponential Equations

Time to solve it:

~ 0.04 s

Related topics:

Exponential EquationsEquationsPrecalculus

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