Expand the logarithmic expression $\ln\left(e^{4x}\right)-\ln\left(1\right)$

Step-by-step Solution

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asinh
acosh
atanh
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Final answer to the problem

$4x$
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Step-by-step Solution

How should I solve this problem?

  • Expand the logarithm
  • Solve for x
  • Condense the logarithm
  • Simplify
  • Find the integral
  • Find the derivative
  • Write as single logarithm
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Load more...
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1

Apply the formula: $\ln\left(e^x\right)$$=x$, where $x=4x$

$4x-\ln\left(1\right)$

Learn how to solve expanding logarithms problems step by step online.

$4x-\ln\left(1\right)$

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Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression ln(e^(4x))-ln(1). Apply the formula: \ln\left(e^x\right)=x, where x=4x. Calculating the natural logarithm of 1. Multiply -1 times 0. x+0=x, where x is any expression.

Final answer to the problem

$4x$

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Function Plot

Plotting: $4x$

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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

How to improve your answer:

Main Topic: Expanding Logarithms

Logarithm expansion consists of applying the properties of logarithms to express a single logarithm in multiple logarithms, usually much simpler.

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