Powers and Roots Practice Test 4

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Question : 10 of 40

Marks: +1, -0

p and q are positive numbers such that

p^q = q^p

, and

q = 9p

. The value of p is:

$√ 9$
$√^6 9$
$√^9 9$
$√^ 8 9$
$√^3 9$

Solution:

p and q are positive numbers such that

p^q=q^p

and

q=9p

p^{9p}=(9p)^q

p common on both sides is cancelled

p^9=9p

Now,

p^8=9

Value of

p=√^8 9

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