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if log_2aa = ...

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if \log_{2a}a = x, \log_{3a}2a = y, and \log_{4a}3a = z, then xyz - 2yz is equal to a) 1 b)-1 c) 2 d)- 2

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x = {log}_{2 a} a, y = {log}_{3 a} 2 a a n d z = {log}_{4 a} 3 a

x y z + 1 =

p = {log}_{2 a} a, q = {log}_{3 a} 2 a

r = {log}_{4 a} 3 a

, then find the value of

q r (2 - p)

{log}_{2 a} a = x

{log}_{3 a} 2 a = y

{log}_{4 a} 3 a = z

x y z - 2 y z

x = {log}_{12} 6, y = {log}_{18} 12

z = {log}_{24} 18

1 + x y z = 2 y z

Q. If x is the arithmetic mean of y and z and the two geometric means between y and z are

G_{1} and G_{2}

G_{1}^{3} + G_{2}^{3} =

.

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