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# Solve the exponential equation $\frac{2^x}{2^2}=2^2$

## Step-by-step Solution

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###  Videos

$x=4$
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##  Step-by-step Solution 

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Simplify the fraction by $2$

$2^{\left(x-2\right)}=2^2$

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

$2^{\left(x-2\right)}=2^2$

Learn how to solve exponential equations problems step by step online. Solve the exponential equation (2^x)/(2^2)=2^2. Simplify the fraction by 2. If the bases are the same, then the exponents must be equal to each other. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -2 from both sides of the equation. Canceling terms on both sides.

$x=4$

##  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 xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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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.