Originally Posted by

**xwrathbringerx**

Given the pts A (a, log a) and B (b, log b) on the curve y= log x, a is not equal to b.

(c) Given point Q is directly to the left of M on y = log x

(i) Find the coordinates of Q.

(ii) Show that x^2 with the base of Q = ab

For (i), I was wondering: For the y coordinate, I found it to be log ((a+b)/2). I was wondering how the answer becomes 1/2log ab (that’s what my teacher got). If it’s wrong, could someone please show me how to simplify it?

For (ii), I have no clue how to solve the question. Could someone please guide me?

N.B. For all the logs in this question, they are in base 10. Sorry