#1**+1 **

2log(a - 2b) = log(a) + log(b)

log(a - 2b)^{2} = log(ab)

(a - 2b)^{2} = ab

a^{2} - 4ab + 4b^{2} = ab

a^{2} - 5ab + 4b^{2} = 0

(a - 4b)(a - b) = 0

Either a = 4b or a = b (It is impossible for a to equal b)

---> a/b = 1/4

geno3141 Mar 14, 2020

#2

#3**0 **

Why do you think so?

Geno justified his answer - you should justify your response.

Melody
Mar 15, 2020

#5**+2 **

Geno made a slight slipup in the last line. He went from a = 4b to a/b = 1/4 instead of a/b = 4. If you had followed his reasoning instead of just looking at the final answer you might have spotted this!

Alan
Mar 15, 2020

#6**+8 **

I looked over his answer, and it is very easy to mix up the final answer. I have made that mistake on similar problems in the past, where I thought the answer was 1/5, but it was 5.

SpongeBobRules24
Mar 15, 2020

edited by
SpongeBobRules24
Mar 15, 2020

edited by SpongeBobRules24 Mar 15, 2020

edited by SpongeBobRules24 Mar 15, 2020

edited by SpongeBobRules24 Mar 15, 2020

edited by SpongeBobRules24 Mar 15, 2020