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

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

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 x^(y)=e^(x-y) , prove that (dy)/(dx)=(logx)/((1+logx)^(2)).

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)15

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

int (dx)/(x log x log (logx))=...

The area of the region bounded by the curve y = log x, y = log |x| ,y= | log x| and y=|log |x|| is ….Sq. units

If y^(x)= e^(y-x) , then prove that (dy)/(dx)= ((1+ log y)^(2))/(log y)