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# Solve the logarithmic equation $\ln\left(2^x\right)=2^3$

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asinh
acosh
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##  Final answer to the problem

$x=\frac{8}{\ln\left(2\right)}$
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##  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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Calculate the power $2^3$

$\ln\left(2^x\right)=8$

Learn how to solve problems step by step online.

$\ln\left(2^x\right)=8$

Learn how to solve problems step by step online. Solve the logarithmic equation ln(2^x)=2^3. Calculate the power 2^3. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Divide both sides of the equation by \ln\left(2\right). section:Verify that the solutions obtained are valid in the initial equation.

##  Final answer to the problem

$x=\frac{8}{\ln\left(2\right)}$

##  Exact Numeric Answer

$x=11.5415603$

##  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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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

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