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How do I express complicated logs as single logarithms?

The process of transforming a complicated log to a single logarithm depends on the question. However, there are some basic rules and methods that are commonly involved. Here is an example: Example Express 2l...
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Answered by Keeley L. • Maths tutor
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What is an atheroma and how can it lead to a heart attack?

Atheroma = Formed of a hard fibrious plaque containing fatty streaks that have hardened over time (through damage such as high blood pressure). There is a build up of cholesterol and other insoluble lipids c...
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Answered by Keeley L. • Biology tutor
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How can you remember what sin(x) and cos(x) differentiate or integrate to?

Calculus processes concering sin(x) and cos(x) can be imagined like turning a wheel (insert diagram here, would show in tutorial). Turning the wheel clockwise is the process of differentiating, turning the w...
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Answered by Sam T. • Maths tutor
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What is the difference between a scalar and a vector?

A scalar is a value that has only a size (otherwise known as magnitude), not a direction. A scalar is unaffected by the direction in which the object concerned is travelling. Examples include kinetic energy,...
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Answered by Sam T. • Physics tutor
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The polynomial p(x) is, p(x)= x3-5x2-8x+48.Use the Factor Theorem to show that (x + 3)is a factor of p(X)

First of all it is using the factor theorem. so need to use that to show it is a factor We do this by P of (-3) should = 0 So substitute x with -3 p(-3)= (-3)3 - 5 (-3)2- (-3)8 + 48 = 0 -27-45+24+48=0
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