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What are logarithms and how do you manipulate them?

A logarithms are the 3rd way of representing the interactions between bases and powers.To start we will cover basic algebra about powers or exponents. base exponent = answer , 3 2 = 9 This is the same as wri...
AS
Answered by Ashley S. • Maths tutor
4136 Views

Solve for x when |x-1|<|2x+3|

A graph is always helpful when dealing with this kind of problems. The first thing to do when sketching is to find the intersection with the axis. Ignore the modulus function for the moment. Then flip what's...
QZ
Answered by Qinyu Z. • Maths tutor
4646 Views

A cylinder has dimensions: diameter = 4x+2 and height = 4. Work out the volume of this cylinder. Give your answer in terms of x

The volume of a cylinder = (pi).r 2 .hAs the diameter is given in the question, we need to halve it to get the radius --&gt; r = (4x+2)/2 = 2x+1This means the volume of the cylinder = (pi).(2x+1) 2 .4 First ...
BG
Answered by Ben G. • Maths tutor
3215 Views

How can I determine the characteristics of a curve on an x-y set of axis (eg. points of intersection, stationary points, area under graph)?

To determine the characteristics of a graph, we need to examine what we are been shown in the question. Below is an exam style question:By looking at both the graph and the equation, we can see that in the p...
EC
Answered by Ethan C. • Maths tutor
4343 Views

How do you differentiate a function containing e?

y = e x is an interesting function because for any value of x, the corresponding value of y is always equal to the gradient of the curve at that point.Therefore, f(x) is equivalent to f'(x) - the derivative ...
FH
Answered by Finn H. • Maths tutor
4850 Views