(i) If log(a-b/2)=1/2(log a+log b), show that a^2+b^2=6 a b(ii) If log(a+b/2)=1/2(loga+logb), sho...

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If `log ((a-b)/2)=1/2(loga+logb),` show that `a^2+b^2=6ab` If `log ((a-b)/2)=1/2(loga+logb),` show that `a^2+b^2=6ab`
If `log((a+b)/2)=1/2(loga+logb),s h o w t h a t(a+b)/2=sqrt(a b)anda^2+b^2=2a b` If `log((a+b)/2)=1/2(loga+logb),s h o w t h a t(a+b)/2=sqrt(a b)anda^2+b^2=2a b`
Prove that : (i) (log a)^(2) - (log b)^(2) = log((a)/(b)).log(ab) (ii) If a log b + b log a - 1 ... Prove that : (i) (log a)^(2) - (log b)^(2) = log((a)/(b)).log(ab) (ii) If a log b + b log a - 1 ...
log(a+b)+log(a-b)-log(a^2-b^2) || log(a+b)+log(a-b)-log(a^(2)-b^(2))= #iitfoundationseries log(a+b)+log(a-b)-log(a^2-b^2) || log(a+b)+log(a-b)-log(a^(2)-b^(2))= #iitfoundationseries
Prove logA-logB=log(A/B) Prove logA-logB=log(A/B)
If log ((a + b)/(2)) = (1)/(2) (log a + log b), then a is equal to | CLASS 12 | LOGARITHMS | M... If log ((a + b)/(2)) = (1)/(2) (log a + log b), then a is equal to | CLASS 12 | LOGARITHMS | M...
Show that : log a (a+b)^2 = 2 + log a⁡ (1+(2b/a)+(b^2/a^2) ) Show that : log a (a+b)^2 = 2 + log a⁡ (1+(2b/a)+(b^2/a^2) )
Prove that loga(b)*logb(a)=1 Prove that loga(b)*logb(a)=1