Given `log x=m+n` and `log y= m-n` then express the value of `log (10/y^2)` in terms of `m` and `n`

Given log x = m + n and log y = m - n, express the value of "log" (10 x)/(y^(2)) in terms of m and n.

Let log x= 2m - 3n and log y = 3n - 2m Find the value of log (x^(3) /y ^(2)) in terms of m and n.

The value of log_(x^(n))y^(m) is

If log_(9)m = 3.5 and log_(2) n = 7 , then the value of m in terms of n is ______.

Given 3 log x + (1)/(2) log y = 2 , express y in term of x.

If log xy^(3) = m and log x ^(3) y ^(2) = p, " find " log (x^(2) -: y) in terms of m and p.

Given log x = 2m - n, log y = n - 2m and log z = 3m - 2n, find in terms of m and n, the value of "log" (x^(2)y^(3))/(z^(4)) .

Given log_(2)x = m and log_(5) y = n (i) Express 2^(m-3) in terms of x. (ii) Express 5^(3n + 2) in terms of y.

Given : log_(3) m = x and log_(3) n = y (i) Express 3^(2x - 3) in terms of m. (ii) Write down 3^(1 - 2y + 3x) in terms of m and n. (iii) If 2 log_(3) A = 5x - 3y , find A in terms of m and n.