# Mathemagic | 20 Nov, 2009

Discussion in '\$1 Daily Competition' started by shabbir, Nov 20, 2009.

1. ### shabbirAdministratorStaff Member

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You have a custom operation ^ and the following equation x ^ y = 2x + y,

Now what is the value of a in 2 ^ a = a ^ 3

BTW I also don't know the answer and is a question of some paper.

2. ### pankaj.seaNew Member

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a=1 :thinking:

3. ### shabbirAdministratorStaff Member

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Would you explain the answer

4. ### sameer_havakajokaNew Member

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x^y = 2x +y

2^a = a^3

=======================

2^a = 2(2)+a
2^a = 4+a

=================

a^3 = 2(a)+3

===============

4+a = 2a+3

2a-a=4-3

a=1

5. ### pankaj.seaNew Member

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Yes! This is same or the correct the explanation of my answer!