Try NerdPal! Our new app on iOS and Android

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

Step-by-step Solution

Go!
Go!
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

Final Answer

$x=4$
Got another answer? Verify it here!

Step-by-step Solution

Problem to solve:

$\frac{2^x}{2^2}=2^2$

Specify the solving method

1

Simplify the fraction by $2$

$2^{\left(x-2\right)}=4$

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

$2^{\left(x-2\right)}=4$

Unlock the first 2 steps of this solution!

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. Rewrite the number 4 as a power with base 2 so that we have exponentials with the same base on both sides of the equation. 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 subtracting -2 from both sides of the equation.

Final Answer

$x=4$
SnapXam A2
Answer Assistant

beta
Got another answer? Verify it!

Go!
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

Useful tips on how to improve your answer:

$\frac{2^x}{2^2}=2^2$

Main topic:

Exponential Equations

Time to solve it:

~ 0.05 s