hello everyone,
this is my first time on here, so i hope i'm doing it right
we have a year 12 maths assignment due in about a week, and it says:
Let log(a)x=c and log(b)x=d. Find the general statement that expresses log(ab)x in terms of c and d.
is the answer log(ab)x=(cd)/(c+d)??
if it is.. how on earth is it right? lol.. how can i prove it?
thank you so much
Hello, Missy!
Welcome aboard!
Here's another approach . . . It's considerably longer,
. . but it will impress/surprise/terrify your teacher.
Let and
Find the general statement that expresses in terms of and .
is the answer: . ?
We have: .
Multiply [1] and [2]: .
Raise both sides to the power
. .
Take logs, base
. .
Therefore: .
Therefore: .
[/quote]
i agree with u, but the thing is, i dont understand how u can substitute values for a, b, and x .(for testing the formula)
soo can someone plz help me, cuz i am having this problem.
and can u do the subtitution on the same formula!!!! :P
.
thnx
plzzz help me i need this for tomorrow