SOLUTION: Prove that {{{ a^b = b^a }}} with a= 2 1/4 and b= 3 3/8.

Question 1065452: Prove that with a= 2 1/4 and b= 3 3/8.
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Sub 2.25 for a and 3.375 for b.
-----
See if it's true.
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.
Prove that with a= 2 1/4 and b= 3 3/8.
~~~~~~~~~~~~~~~~~~~~

Notice that a = and b = .

Take logarithms of both sides.

= = = = = . = = = = = . We just got that the logarithms are the same. Hence, the under-the-logarithm expressions are equal.

Proved and solved.

RELATED QUESTIONS
if a-1,a+1.b-2,b+2 are in proportion then.find a/b ,then prove that a+b/aa+b-3... (answered by ikleyn)
i really need help with this one: Given that, a=b+1 Prove that... (answered by scott8148)
If a^2 + b^2 = 11ab and a>b >0, prove that {(a-b)/3}=1/2 (log a + log... (answered by ikleyn)
a^3 � b ^3 = ( a � b)( a^2 + ab + b^2 ) how to prove... (answered by ikleyn)
if a^2+b^2=7ab,prove that log 1/3(a+b)=1/2[log a+log... (answered by CharlesG2)
If a^2+b^2=7ab,prove that log{1/3(a+b)}=1/2(log a + log b) (answered by ikleyn)
a 3 - b 3 = a 3 + a 2 b - a 2 b - ab 2 + ab 2 + b 3 how to prove that with... (answered by ikleyn)
A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}. Find A � B and B �... (answered by LinnW)
Let A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}. Find A � B and B �... (answered by richwmiller)