ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

# Solve the exponential equation $2^{2c}-12\cdot 2^c+32=0$

Go!
Symbolic mode
Text mode
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 to the problem

$c=2,\:c=3$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for c
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
1

Rewriting the exponent $2^{2c}$

$\left(2^c\right)^2-12\cdot 2^c+32=0$

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

$\left(2^c\right)^2-12\cdot 2^c+32=0$

Learn how to solve exponential equations problems step by step online. Solve the exponential equation 2^(2c)-122^c+32=0. Rewriting the exponent 2^{2c}. We can try to factor the expression \left(2^c\right)^2-12\cdot 2^c+32 by applying the following substitution. Substituting in the polynomial, the expression results in. Factor the trinomial u^2-12u+32 finding two numbers that multiply to form 32 and added form -12.

##  Final answer to the problem

$c=2,\:c=3$

##  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

SnapXam A2

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

###  Main Topic: Exponential Equations

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

### 20% discount on online tutoring.

##### Please hold while your payment is being processed.
Create an Account