question on logs (1 Viewer)

[j@son]

Given that a^2+b^2=23ab
Show that (a+b/2)^2=23ab.

 

[Trev]

I think there's a typo there?

 

[j@son]

I think there's a typo there?

Sorry,
its meant to be:
given that a^2+b^2=23ab

Show that [(a+b)/5]^2=ab

 

[Riviet]

LHS=[(a+b)/5]²
=(a²+b²+2ab)/25
=(23ab+2ab)/25
=25ab/25
=ab
=RHS

 

[Raginsheep]

LHS=[(a+b)/5]^2
=(a^2+b^2+2ab)/25
sub in a^2+b^2=23ab
=(23ab+2ab)/25
=25ab/25
=ab
=RHS

Damn Riviet for posting it as I started typing it!

Anywayz, what does logs have to do with it?