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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:

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No. Think of an x as a tangible object, for instance an apple. If you have an apple plus another apple, you have 2 apples. Therefore if you have an x you have 1x. 1x plus another 1x is 2x, not x^2. 

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 insolubl...

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 th...

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 ener...