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# Expand the logarithmic expression $\log \left(5\right)\cdot \frac{625}{25^{\frac{1}{3}}}$

## Step-by-step Solution

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###  Videos

$\log \left(5\right)\cdot \frac{17741}{83}$
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##  Step-by-step Solution 

Problem to solve:

$\log \left(5\right)\cdot \frac{625}{25^{\frac{1}{3}}}$

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1

Divide $1$ by $3$

$\log \left(5\right)\cdot \frac{625}{\sqrt[3]{25}}$

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

$\log \left(5\right)\cdot \frac{625}{\sqrt[3]{25}}$

Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression log(5)625/(25^(1/3)). Divide 1 by 3. Calculate the cubic root of 25. Divide 625 by \sqrt[3]{25}.

$\log \left(5\right)\cdot \frac{17741}{83}$

$149.4027$

##  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

SimplifyWrite as single logarithmCondense the logarithmExpand the logarithmFind the integralFind the derivative

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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:

Expanding Logarithms

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