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