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Luda [366]
3 years ago
13

Write the expression 2/3 [ln(x) + ln(x^3-2) -ln(x+4)] as a logarithm of a single quantity.

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0
Lnx+lny=ln(xy)
lnx-lny=ln(x/y)
xlny=ln(y^x)

(2/3)(lnx+ln(x^3-2)-ln(x+4))=
(2/3)(ln((x)(x^3-2))-ln(x+4))=
(2/3)(\frac{ln((x)(x^3-2))}{ln(x+4)}=
(\frac{2ln((x^4-2x))}{3ln(x+4)}=
(\frac{ln((x^3-2x)^2)}{ln((x+4)^3)}



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<em>The question is incomplete:</em>

<em>According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015). </em>

<em> Suppose we randomly select 100 tweets. </em>

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This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

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