If (a/b)^{x-1}=(b/a)^{x-3}, then the value of x is:

Surds and Indices Practice Test 1

Question : 35 of 40

Marks: +1, -0

(a/b)^{x-1}=(b/a)^{x-3}

, then the value of x is:

Solution:

Here,

(a/b)^{x-1}=(b/a)^{x-3}

⇒x-1=3-x

⇒2x=4

∴x=2

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