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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. 

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...

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- ...

After careful consideration, we can see the function f(x) is the product of two individual functions. Usually, to find the area under a curve we integrate its function between a set limit. Given our situa...