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# Solve the exponential equation $\frac{2^x}{2^2}=2^3$

## Step-by-step Solution

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### Videos

$x=5$
Got another answer? Verify it here!

## Step-by-step Solution

Problem to solve:

$\frac{2^x}{2^2}=2^3$

Specify the solving method

1

Simplify the fraction by $2$

$2^{\left(x-2\right)}=8$

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

$2^{\left(x-2\right)}=8$

Learn how to solve exponential equations problems step by step online. Solve the exponential equation (2^x)/(2^2)=2^3. Simplify the fraction by 2. Rewrite the number 8 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. Move everything to the left hand side of the equation.

$x=5$
SnapXam A2

### 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

$\frac{2^x}{2^2}=2^3$