Assume x, y and z are nonzero real numbers. If x , y , z form a G.P., and a x = b y = c z 0 with positive bases a , b , c  = 1 , which relation holds?

Question

Assume x, y and z are nonzero real numbers. If x , y , z form a G.P., and a x = b y = c z > 0 with positive bases a , b , c  = 1 , which relation holds?

TestHub · Accepted Answer

Put a x = b y = c z = K . Then lo g a = ( lo g K ) / x and similarly for b , c . Since y 2 = x z , lo g b ​ a = y / x = z / y = lo g c ​ b .

Mathematics - Sequence & Series Question with Solution | TestHub

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