Question

if (a/b)^p-2=(b/a)^p-4 then p is equal to. options, 3, 1/2, 2, 7/2​

Answer 1

Solution:

/* By Exponential laws,

i )(x/y)ⁿ = (y/x)^-n

i )(x/y)ⁿ = (y/x)^-nii ) If a^m = a^n then m=n */

Now ,

(a/b)^p-2 = (b/a)^p-4

=> (a/b)^p-2 = (a/b)^[-(p-4)]

=> (a/b)^p-2 = (a/b)^(-p+4)

=> p-2 = -p+4

=> p+p = 4+2

=> 2p = 6

=> p = 6/2

=> p = 3

Therefore,

p=3

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