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Cutiepo0
Group Title
How to write as a simple logarithm:
log a + log (a+b)  log c  log d
 2 years ago
 2 years ago
Cutiepo0 Group Title
How to write as a simple logarithm: log a + log (a+b)  log c  log d
 2 years ago
 2 years ago

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AnimalAin Group TitleBest ResponseYou've already chosen the best response.1
The rules of logarithms are important here:\[\log(AB)=logA+logB\]\[\log(\frac{A}{B})=logAlogB\]
 2 years ago

Cutiepo0 Group TitleBest ResponseYou've already chosen the best response.0
I got as far as log (((a^2)+ab)/(c/d))
 2 years ago

Cutiepo0 Group TitleBest ResponseYou've already chosen the best response.0
but in the answer, the bottom of the equation is cd not c/d and I don't get why :(
 2 years ago

AnimalAin Group TitleBest ResponseYou've already chosen the best response.1
Working from that,\[\log a + \log (a+b)  \log c  \log d=\log(\frac{a(a+b)}{cd})\]
 2 years ago

AnimalAin Group TitleBest ResponseYou've already chosen the best response.1
OK, this time stepbystep. From the product rule\[\log a + \log (a+b)  \log c  \log d=\log[a(a+b)]\log c\log d\]
 2 years ago

Cutiepo0 Group TitleBest ResponseYou've already chosen the best response.0
ok following so far
 2 years ago

AnimalAin Group TitleBest ResponseYou've already chosen the best response.1
Now, from the quotient rule\[\log[a(a+b)]−logc−logd=\log[\frac{a(a+b)}{c}]logd\]
 2 years ago

AnimalAin Group TitleBest ResponseYou've already chosen the best response.1
Apply the quotient rule again, to get\[\log[\frac{a(a+b)}{c}]−logd=\log[\frac{a(a+b)}{cd}]\]
 2 years ago

AnimalAin Group TitleBest ResponseYou've already chosen the best response.1
Got it now?
 2 years ago

Cutiepo0 Group TitleBest ResponseYou've already chosen the best response.0
and then with log d you do the same step as the last time!! Oh! How did you know to do the c first and then d though, I just did the first two parts with the multiplication law, and thelast two with the division law, and then both together with the division law
 2 years ago

AnimalAin Group TitleBest ResponseYou've already chosen the best response.1
You eat an elephant one bite at a time. Do math the same way.
 2 years ago

Cutiepo0 Group TitleBest ResponseYou've already chosen the best response.0
haha okay thanks so much :)
 2 years ago

AnimalAin Group TitleBest ResponseYou've already chosen the best response.1
Do math every day.
 2 years ago
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