LIC AAO Model Paper 3

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QUANTITATIVE APTITUDE

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Question : 36 of 160

Marks: +1, -0

If

2^{2x-1}

=

1/8^{x-3}

then the value of x is :

-1
-2
2
3
None of these

Solution:

If

2^{2x-1}

=

1/8^{x-3}

⇒

2^{2x-1}

=

8^{3-x}

=

(2^3)^(3-x)

⇒

2^{2x-1}

=

2^{9-3x}

⇒ 2x - 1 = 9 - 3x
⇒ 2x + 3x = 9 + 1
⇒ 5x = 10
⇒ x =

{10}/5

= 2

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