Problema Solution

write expression as a single logarithm

3 1og5(3x + 1) – 2 1og5(2x – 1) – log5 x

Answer provided by our tutors

3 1og5(3x + 1) - 2 1og5(2x - 1) - log5 x

= 1og5(3x + 1)^3 - 1og5(2x - 1)^2 - log5 x

= log5 [(3x + 1)^3 / (x(2x - 1)^2)]

So the expression as a single logarithm is log5 [(3x + 1)^3 / (x(2x - 1)^2)]