Simplify the fractions First, I apologize for the title, but if I write my question then the characters will be too long. Here's my question: Why ((log3)/(log2)+(2 log3)/(2 log2))((2 log2)/( log3)+(log2)/(2 log3))=(2xx(log3)/(log2))(5/2xx(log2)/( log3)) I have no idea how the left side becomes the right side.

ezelsbankuk

ezelsbankuk

Answered question

2022-09-06

Simplify the fractions
First, I apologize for the title, but if I write my question then the characters will be too long.
Here's my question:
Why ( log 3 log 2 + 2 log 3 2 log 2 ) ( 2 log 2 log 3 + log 2 2 log 3 ) = ( 2 × log 3 log 2 ) ( 5 2 × log 2 log 3 )?
I have no idea how the left side becomes the right side.

Answer & Explanation

Azul Lang

Azul Lang

Beginner2022-09-07Added 20 answers

Because
log 3 log 2 + 2 log 3 2 log 2 = log 3 log 2 + log 3 log 2 = 2 log 3 log 2
and similarly
2 log 2 log 3 + log 2 2 log 3 = 2 log 2 log 3 + 1 2 log 2 log 3 = ( 2 + 1 2 ) log 2 log 3 = 5 2 log 2 log 3
drobtinicnu

drobtinicnu

Beginner2022-09-08Added 4 answers

multiplying this out and simplify:
log 3 2 log 2 log 2 log 3 + 4 log 3 log 2 2 log 2 log 3 + log 3 log 2 log 2 2 log 3 + 2 log 3 log 2 2 2 log 2 log 3 = . . .

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