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If 2 log(x + a) = log(16a^6), where a is a positive constant, find x in terms of a

Use the power rule on the right hand side of the equation to reduce the expression into simpler termsRemoves logs (several methods, I would personally halve and then cancel)Factorise to give x=a(4a^2<...

Answered by Michael L. • Maths tutor

3967 Views

A graph is given with a plot of y = sin(x) for 0 <= x <= 360. Which value of x in the range 90 <= x <= 180 satisfies sin(x) = sin(30)?

x = 150.This question requires that the student uses the symmetry of the sine graph. If we draw y = sin(30) on top of y = sin(x), it is clear that a possible value of x is 150.
A harder question coul...

Answered by Jake S. • Maths tutor

9394 Views

Discuss the claim that power is the monopoly of the legitimate use of force.

Max Weber's claim, that power is the monopoly over the legitimate use of force, is, I believe, conceptually sound but morally flawed, for it implies that the base exercise of power is coercion. This essay...

Answered by Euan T. • Politics tutor

1630 Views

How do I choose which medical school to apply to?

Choosing which medical school is right for you can be a lengthy and stressful process, but to make this easier I would advice the student to think about the following points:1) Firstly, they need to consi...

Answered by Natasha N. • Medical School Preparation tutor

1202 Views

A ball is thrown vertically downwards at a speed of 10ms^-1 from a height of 10m. Upon hitting the floor 10% of the energy is dissipated through waste heat. What is the heighest point the ball reaches before it comes to rest? Take g=10ms^-2

The first step is to calculate the initial energy of the system. at the moment of throwing. Energy is comprised of both potential (given by Mgh) and kinetic(given by 0.5Mv^2), and so the initial energy is...

Answered by Russell J. • Physics tutor

1444 Views