If log{(a+b)/3} = 0.5(log a + log b), then the correct relation between a and b is:
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log[(a+b)/3] = 0.5[log(a) + log(b)]
log[(a+b)/3] = 0.5*log(ab)
log[(a+b)/3] = log[sqrt(ab)]
(a+b)/3 = sqrt(ab)
a + b = 3*sqrt(ab)
a^2 + 2ab + b^2 = 9 ab
a^2 + b^2 = 7ab
log[(a+b)/3] = 0.5*log(ab)
log[(a+b)/3] = log[sqrt(ab)]
(a+b)/3 = sqrt(ab)
a + b = 3*sqrt(ab)
a^2 + 2ab + b^2 = 9 ab
a^2 + b^2 = 7ab
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