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# Solve the exponential equation $2^{\left(3x+5\right)}=1024$

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##  Final answer to the problem

$x=\frac{5}{3}$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for x
• 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.
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Rewrite the number $1024$ as a power with base $2$ so that we have exponentials with the same base on both sides of the equation

$2^{\left(3x+5\right)}=2^{10}$

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

$2^{\left(3x+5\right)}=2^{10}$

Learn how to solve exponential equations problems step by step online. Solve the exponential equation 2^(3x+5)=1024. Rewrite the number 1024 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 simultaneously subtracting 5 from both sides of the equation. Canceling terms on both sides.

##  Final answer to the problem

$x=\frac{5}{3}$

$x=\frac{5}{3}$

##  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

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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.