If ` x^(18) = y^(21) z^(28)` , then `3 log_(y) x , 3 log_(z)y , 7log_(x) z ` are in

If x^(18)=y^(21)=z^(28) , then 3,3 log_(y)x,3log_(z)y,7log_(x)z are in

If x^(18)=y^(21)=z^(28) , then 3,3 log_(y)x,3log_(z)y,7log_(x)z are in

If "log"_(y) x = "log"_(z)y = "log"_(x)z , then

. If 1, log_y x, log_z y, -15 log_x z are in AP, then

State, true or false : (i) If log_(10)x = a , then 10^(x) = a (ii) If x^(y) = z , then y = log_(z) x . (iii) log_(2) 8 = 3 and log_(8) 2 = (1)/(3) .

If x gt 1 , y gt 1 , z gt 1 are in G.P. , then log_(ex)e , log_(ey)e , log_(ez)e are in

If x,y,z are in G.P. (x,y,z gt 1) , then (1)/(2x+log_(e)x) , (1)/(4x+log_(e)y) , (1)/(6x+log_(ez)z) are in

Statement-1: If a =y^(2), b=z^(2) " and " c= x^(2), " then log"_(a) x^(3) xx "log"_(b) y^(3) xx "log"_(c)z^(3) = (27)/(8) Statement-2: "log"_(b) a = (1)/("log"_(a)b)

Prove that : log _ y^(x) . log _z^(y) . log _a^(z) = log _a ^(x)

The value of x^("log"_(x) a xx "log"_(a)y xx "log"_(y) z) is