Mathemagic | 20 Nov, 2009

Go4Expert Founder
20Nov2009,19:07   #1
shabbir's Avatar
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.
Pro contributor
20Nov2009,20:29   #2
pankaj.sea's Avatar
a=1
Go4Expert Founder
21Nov2009,10:59   #3
shabbir's Avatar
Would you explain the answer
Skilled contributor
21Nov2009,11:22   #4
sameer_havakajoka's Avatar
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
Pro contributor
21Nov2009,12:20   #5
pankaj.sea's Avatar
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!