If `x^2 + y^2 = 6xy` , prove that 2 log (x + y) = logx + logy + 3 log 2

f x^(2) + y^(2)= 25xy , then prove that 2 log(x + y) = 3log3 + logx + logy.

For relation 2 log y - log x - log ( y-1) =0

We can write log"" x/y = log (x.y^(-1 )) Can you prove that log"" x/y = log x - logy using product and power rules.

If y^2=x z and a^x=b^y=c^z , then prove that (log)_ab=(log)_bc

Evaluate each of the following in terms of x and y, if it is given that x = log_(2)3 and y = log_(2)5 log_(2)7.5

Evaluate each of the following in terms of x and y, if it is given that x = log_(2)3 and y = log_(2)5 log_(2)6750

Evaluate each of the following in terms of x and y, if it is given that x = log_(2)3 and y = log_(2)5 log_(2)60

Evaluate each of the following in terms of x and y, if it is given that x = log_(2)3 and y = log_(2)5 log_(2)15

If xa n dy are real numbers such that 2log(2y-3x)=logx+logy ,then find x/y .

If x and y are positive real numbers such that 2log(2y - 3x) = log x + log y," then find the value of " x/y .