[" 08.If "log(2a-3b)=log a-log b,quad 1" point "],[" then "a=:]

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

if log((a+b)/(2))=(1)/(2)(log a+log b), prove that a=b

If log_e(1/(2)(a+b))=1/2(log_e a+log_e b), then a/(3b) =

If log(a+b+c) = log a + log b + log c , then prove that log ((2a)/(1-a^(2))+(2b)/(1-b^(2))+(2c)/(1-c^(2))) = log(2a)/(1-a^(2)) + log (2b)/(1-b^(2)) + log(2c)/(1-c^(2)) .

If log(a^(3)-b^(3))-log3=(3)/(2)(log a+log b) find the value of ((a)/(b))^(3)+((b)/(a))^(3)

a, b, c are sides of a triangle and a, b, c are in GP If log a- log 2b, log 2b-log 3c and log 3c-log a are in AP then

a, b, c are sides of a triangle and a, b, c are in GP If log a- log 2b, log 2b-log 3c and log 3c-log a are in AP then

If log((a-b)/(2))=(1)/(2)(log a+log b), show that a^(2)+b^(2)=6ab