Simplify 3log(x^2)+4log(y^3)

Using rules of logarithms: 3log(x^2)+4log(y^3)=log((x^2)^3)+log((y^3)^4) =log(x^6)+log(y^12) =log((x^6)(y^12)

AC

Related Maths A Level answers

All answers ▸

Differentiate 3x^(3/4)


A curve has equation y = 2x^5 + 5x^4 1 . (a) Find: (i) dy/ dx [2 marks] (ii) d^2y/ dx^2 (b) The point on the curve where x ¼ 1 is P. (i) Determine whether y is increasing or decreasing at P, giving a reason for your answer.


Find the gradient of the equation y=e^2x.ln(4x^2) when x=5.


Differentiate x^(1/2)ln(3x) with respect to x.