Question

If 1/log_ax + 1/log_cx = 2/log_bx, then find relation among a,b and c.

Answer 1

According to question,

⇒ 1/log_ax + 1/log_cx = 2/log_bx

⇒ log_xa + log_xc= 2 log_xb

⇒ log_x(ac) = log_x(b)²

On comparing, ac = b² or b² = ac

Hence, a, b, c are in G.P. and G.M. between a and c is b.