Condense the logarithmic expression $3\ln\left(a\right)-\frac{1}{2}\left(\ln\left(b\right)+\ln\left(c^2\right)\right)$

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Final answer to the problem

$\ln\left(\frac{a^3}{\sqrt{b}c}\right)$
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Apply the formula: $a\ln\left(x\right)$$=\ln\left(x^a\right)$, where $a=3$ and $x=a$

$\ln\left(a^3\right)-\frac{1}{2}\left(\ln\left(b\right)+\ln\left(c^2\right)\right)$

Apprenez en ligne à résoudre des problèmes condenser les logarithmes étape par étape.

$\ln\left(a^3\right)-\frac{1}{2}\left(\ln\left(b\right)+\ln\left(c^2\right)\right)$

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Apprenez en ligne à résoudre des problèmes condenser les logarithmes étape par étape. Condense the logarithmic expression 3ln(a)-1/2(ln(b)+ln(c^2)). Apply the formula: a\ln\left(x\right)=\ln\left(x^a\right), where a=3 and x=a. Apply the formula: \ln\left(a\right)+\ln\left(b\right)=\ln\left(ab\right), where a=b and b=c^2. Apply the formula: a\ln\left(x\right)=-\ln\left(x^{\left|a\right|}\right), where a=-\frac{1}{2} and x=bc^2. Apply the formula: \left(ab\right)^n=a^nb^n.

Final answer to the problem

$\ln\left(\frac{a^3}{\sqrt{b}c}\right)$

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Plotting: $\ln\left(\frac{a^3}{\sqrt{b}c}\right)$

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7
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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

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