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Express 2ln𝑥 + 3ln𝑦 – 4ln𝑥𝑦 as a single logarithm.

please explain

 Feb 10, 2019
 #1
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Simplify 


2 log(x) + 3 log(y) - 4 log(x y) = 0

Combine logarithms.
2 log(x) + 3 log(y) - 4 log(x y) =   

log(x^2) + log(1/(x^4 y^4)) + log(y^3)

log((x^2 y^3)/(x^4 y^4)) = log(1/(x^2 y)):
log(1/(x^2 y)) 

 Feb 10, 2019

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