Question

(12)^(3/2)*36^(5/2)*144^(3/2)/(12)^x=1728

Answer 1

Given : (12)^(3/2)*36^(5/2)*144^(3/2)/(12)^x=1728

To Find : Value of x

Solution:

(12)^(3/2)*36^(5/2)*144^(3/2)/(12)^x=1728

36^(5/2)   = (6²)^(5/2)  =  6⁵

144^(3/2)  = (12²)^(3/2)  = 12³  = 1728

(12)^(3/2)*6⁵*1728/(12)^x=1728

=> (12)^(3/2)*6⁵ /(12)^x= 1

6⁵ = 12^(x-3/2)

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