if ax = by =cz and y2 =z x prove that log ba =logcb - Maths -

Question

if ax = by =cz and y2
=z x prove that log ba =logcb

Manbar Singh · Accepted Answer

Let ax = by = cz = kNow, ax = k⇒x = klog aNow, by = k⇒y = klog bNow, cz = k⇒z= klog cNow, y2 = xz⇒k2log b 
 log b = k2log a 
 log c⇒log b 
 log b = log a 
 log c⇒log alog b = log blog c⇒logba = logcb