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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 to the problem

$y=2x$
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Step-by-step Solution

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  • Solve for x
  • Solve for y
  • Find the derivative
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  • Solve for y'
  • Find dy/dx
  • Derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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1

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

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

$4x=2y$

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Unlock the first 3 steps of this solution

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. Simplify, dividing both sides of the equality by . Divide 4 by 2. Divide 2 by 2.

Final answer to the problem

$y=2x$

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Function Plot

Plotting: $3^{4x}- 3^{2y}$

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Answer Assistant

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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
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:

Similar Problems Solved

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$3^x=243$

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$4^x=32$

$4^c=64$

$e^x=0$

$2^{6x+7}=\left(\frac{1}{8}\right)^{1-5x}$

Main Topic: Exponential Equations

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

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