`log_x((a+b)/2)=1/2(loga+log_8b)`

If a^2+b^2=18ab ,then prove that log((a-b)/4)=1/2(loga+logb)

If log((a+b)/(6))=(1)/(2)(loga+logb) , then (a)/(b) + (b)/(a) = ______.

If log((a+2b)/4)=1/2(loga+logb) ,then prove that a^2+4b^2=12ab

If a^(2)+b^(2)=23ab prove that log""(a+b)/5=1/2(loga+logb)

If a^(2)+b^(2)=23ab , then prove that log(a+b)/5=1/2(loga+logb)

If a^2+b^2=23 a b , then prove that log((a+b))/5=1/2(loga+logb)dot

Prove that log_a (ab)+log_b (ab)=log_a (ab).log_b (ab)

1/(1+log_b a+log_b c)+1/(1+log_c a+log_c b)+1/(1+log_a b+log_a c)

If (log_a N)/(log_c N)=(log_a N-log_b N)/(log_b N-log_c N) where N>0 and N!=1 a,b,c>0 and not equal to 1 , then prove that b^2=ac

Prove that (log_ab x)/(log_a x)=1+log_x b