ABC=CBA

Algebra Level 2

Given that A = 2 5 / 8 , B = 3 1 / 3 a n d C = 4 1 / 4 t h e n A={ 2 }^{ { 5 }/{ 8 } },\quad B={ 3 }^{ { 1 }/{ 3 } }\quad and\quad C={ 4 }^{ { 1 }/{ 4 } }\quad then

All of the are equal men!! C>B>A A>B>C A>C>B

John Aries Sarza by John Aries Sarza , 26, Philippines

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Compare A and B.Raise A and B to the power of 24 you get 2 15 2^{15} and 3 8 = 6561 3^8=6561 . 2 12 = 4096 , 2 13 = 8192 > 6561 2^{12}=4096,2^{13}=8192>6561 So 2 15 > 3 8 → A > B 2^{15}>3^8\rightarrow A> B . C = 4 1 4 = 2 1 2 C=4^{\frac{1}{4}}=2^{\frac{1}{2}} which is less than A and B.So the answer is A > B > C \boxed{A> B> C}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...