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Usimov [2.4K]
3 years ago
8

What is 3 ln 3 - ln 9 expressed as a single natural logarithm? ln 3 ln 6 ln 18 ln 27

Mathematics
2 answers:
mariarad [96]3 years ago
8 0

Answer:

\ln(3)

Step-by-step explanation:

The given expresion is

3 \ln(3)  -   \ln(9)

Recall that:

n \ln(a)  =  \ln( {a}^{n} )

We apply this property to get:

\ln( {3}^{3} )  -   \ln(9)

\ln(27)  -  \ln(9)

We apply the quotient rule to get

\ln( \frac{27}{9} )

=  \ln(3)

The first choice us correct

Tatiana [17]3 years ago
4 0

Answer:

in 3

Step-by-step explanation:

first option

right on edge

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Find the volume of the rectangle 4 2/3cm,9 1/8cm, 2cm
amm1812

Answer:

\large\boxed{V=85\dfrac{1}{6}\ cm^3}

Step-by-step explanation:

The formula of a volume of a rectangular prism:

V=lwh

l - length

w - width

h - height

We have

l=4\dfrac{2}{3}\ cm=\dfrac{4\cdot3+2}{3}\ cm=\dfrac{14}{3}\ cm\\\\w=9\dfrac{1}{8}\ cm=\dfrac{9\cdot8+1}{8}\ cm=\dfrac{73}{8}\ cm\\\\h=2\ cm

Substitute:

V=\dfrac{14}{3}\cdot\dfrac{73}{8}\cdot2=\dfrac{7}{3}\cdot\dfrac{73}{2}\cdot1=\dfrac{511}{6}=85\dfrac{1}{6}\ cm^3

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3 years ago
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Leokris [45]
I did the math and got
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