Question

if a^2+b^2=7ab then log(a+b)/3 is equal to

Answer 1

a^2+b^2+2ab = 9ab
(a+b)^2=9ab
taking log
2log (a+b )= log 9 + log a +log b
2log(a+b)-2log3 = log a + log b
2log(a+b)/3= log a + log b
log (a+b)/3= log(ab)/2

Answer 2

oh i didnt realize the 3 was inside the log :{

Answer 3

thankz all