If `a = log_(3)5, b = log_(17)25`, then show that a > b.

If x = log_(2a)a, y = log_(3a)2a , z = log_(4a)3a , then show that xyz + 1 = 2yz .

If a = log_(12)m and b = log_(18)m , then prove that log_(3)2= (a-2b)/(b-2a) .

If a = log_(245) 175 and b = log_(1715) 875, then the value of (1-ab)/(a-b) is ________.

If log_(40)4 = a and log_(40)5 = b , then show that log_(40)16=4(1-a-b) .

If log_(12)18 = x and log_(24)54 = y , then show that xy + 5(x-y) = 1

If x = log_(c ) b + log_(b)c , y=log_(a)c + log_(c ) a, z=log_(b)a+log_(a)b , then show that x^(2) + y^(2) + z^(2) - 4 = xyz .

If x = log_(a)^(bc) , y = log_(b)^(ca) and z = log_(c)^(ab) then show that frac(1)(x+1)+frac(1)(y+1)+frac(1)(z+1) = 1 , [abc ne 1]

Prove log_(b)b = 1

If a=(log)_(12)18 , b=(log)_(24)54 , then find the value of a b+5(a-b)dot

If x = log_(2a)^(a) , y = log_(3a)^(2a) and z = log_(4a)^(3a) show that xyz = 2yz - 1.