Mathemagic | 20 Nov, 2009

shabbir's Avatar, Join Date: Jul 2004
Go4Expert Founder
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.
pankaj.sea's Avatar, Join Date: Apr 2009
Pro contributor
a=1
shabbir's Avatar, Join Date: Jul 2004
Go4Expert Founder
Would you explain the answer
sameer_havakajoka's Avatar
Skilled contributor
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
pankaj.sea's Avatar, Join Date: Apr 2009
Pro contributor
Quote:
Originally Posted by sameer_havakajoka View Post
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
Yes! This is same or the correct the explanation of my answer!