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# Answer

Adwin

DaddyD

Thanks!

Can you advise what are the key concepts/rules required for this logarithm topic?

My kid can’t fully understand.

Adwin

**Key concepts**

Logarithms are essentially a reverse engineering of expressing powers/exponentials. It is difficult to explain over text so I would recommend that your daughter watch the following videos which do a good job of breaking the key concepts down. That said, I assume she already has a good foundation in basic algebraic manipulation and indices rules learnt in E-Maths which are necessary to solve or simplify most logarithm questions for her level.

- Intro to logarithms
- Evaluating logarithms
- Relationship between logarithms and exponentials
- e and compound interest

**Key logarithm rules**

- log
_{a }(b) = x, a^{x}= b (Intro to logarithms) - log
_{a}(xy) = log_{a}(x) + log_{a}(y) (Using the logarithm product rule) - log
_{a}(x/y) = log_{a}(x) – log_{a}(y) - log
_{a}(b^{x})= x log_{a}(b) (Using the logarithm power rule) - log
_{a }(b) = log a / log b (Using the logarithm change of base rule) - log
_{e}(a) = In (a)

DaddyD

Thanks for the advice.

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