AP ICET 2019 Shift 2 Paper

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Question : 76 of 200

Marks: +1, -0

If

9^x

=

27^y

= 81 , then

1/x+1/y

=

$3/4$
$5/4$
$7/4$
$1/4$

Solution:

Given

9^x = 27^y = 81

⇒ 3^{2 x}=3^{4} \;\text " and "\; 3^{3 y}=3^{4}

⇒ 2 x=4

and

3 y=4

⇒ x=2

and

y=\;{4}/{3}

⇒ \;{1}/{x}+\;{1}/{y}=\;{1}/{2}+\;{3}/{4}=\;{5}/{4}

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