What are logarithms?
Logarithms allow us to calculate and manipulate indices in relation to regular numbers. The key thing to remember is that "logxy" begs the question "which power of x gives y". By this, we mean that we can write "y=xp" (where p is the unknown indice) as "logxy = p".
AM
Related Maths A Level answers
All answers ▸Integrate (x+3)^(1/2) .dx
Differentiate 3x^(3/4)
Express x^2 - 7x + 2 in the form (x - p)^2 + q , where p and q are rational numbers.
A rollercoaster stops at a point with GPE of 10kJ and then travels down a frictionless slope reaching a speed of 10 m/s at ground level. After this, what length of horizontal track (friction coefficient = 0.5) is needed to bring the rollercoaster to rest?