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

## Step-by-step Solution

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ln
log
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lim
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sin
cos
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acos
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sinh
cosh
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asinh
acosh
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### Videos

$x=\frac{8}{\ln\left(2\right)}$
Got another answer? Verify it here!

## Step-by-step Solution

Problem to solve:

$\ln\left(2^x\right)=2^3$

Specify the solving method

1

Calculate the power $2^3$

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

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

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

Learn how to solve logarithmic equations 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). Eliminate the \ln\left(2\right) from the left side, multiplying both sides of the equation by the inverse of \ln\left(2\right). section:Verify that the solutions obtained are valid in the initial equation.

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

$\ln\left(2^x\right)=2^3$