Question

If x¹⁸ = y²¹ = z²⁸, then 3, 3 log_y^x, 3log_z^y, 7log_x^z are in :

• A. A.P.
• B. G.P.
• C. H.P.
• D. None

Answer 1

Answer: (A)

A.P.

Answer 2

18 log x = 21 log y = 28 log z

̃ log_y^x = $\frac { 7 } { 6 }$ , log_z^y =$\frac { 4 } { 3 }$ , log_x^z = $\frac { 9 } { 14 }$

\ 3, 3log_y^x, 3log_z^y, 7log_x^z

= 3, , 4, which are in A.P.