Question

Answer the following:

Show that, log_y x³ . log_z y⁴ . log_x z⁵ = 60

Answer 1

L.H.S. = log_y (x³) log_z (y⁴) log_x (z⁵)

= (3 log_y x) (4 log_z y) (5 log_x z)

= `60 ((logx)/(logy)) ((logy)/(logz)) ((logz)/(logx))`

= 60

= R.H.S.