Madhya Pradesh Police Exam Model Paper 8

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Question : 99 of 100

Marks: +1, -0

If

(6/5)^{2x+3} × (6/5)^2=(6/5)^{x+4}

, then the value of 'x' =

-2
2
1
-1

Solution:

Given

(6/5)^{2x+3} × (6/5)^2=(6/5)^{x+4}

Concept

x^{a}×x^b=x^{a+b}

Calculation

(6/5)^{2x+3} × (6/5)^2=(6/5)^{x+4}

=(6/5)^{2x+3+2} =(6/5)^{x+4}

=(6/5)^{2x+5} =(6/5)^{x+4}

Comparing both powers, we get

2x + 5 = x + 4

⇒ x = -1

.

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