If `log ((a+b)/3) = 1/2(loga+logb) `then the value of `a/b+b/a`

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

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

if loga/(b-c)=logb/(c-a)=logc/(a-b) then find the value of a^ab^bc^c

If log(2a-3b)=loga-logb, then a=

If a , b , c are consecutive positive integers and (log(1+a c)=2K , then the value of K is (a) logb (b) loga (c) 2 (d) 1

The value of loga b-log|b|=

If a^4b^5=1 then the value of log_a(a^5b^4) equals

If a^4b^5=1 then the value of log_a(a^5b^4) equals

If a^4b^5=1 then the value of log_a(a^5b^4) equals

If a^4b^5=1 then the value of log_a(a^5b^4) equals