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# Logarithmic Functions

Logarithmic scales are used when the range of possible values is very wide, such as the intensity of an earthquake or the acidity of a liquid, in order to avoid the use of large numbers.

# Logarithmic Functions Warmup

What is $$\log_{6}(36)$$ ?

What is $$\log_{8}(2) + \log_{8}(4)$$ ?

$$f(x) = \ln(x^2)$$

What is the domain of $$f$$ ?

$$\log_{3}(x) + \log_{3}(x^2) + \log_{3}(x^3) = 18$$

What is the value of $$x$$ ?

$$\log_{x}(y) = 3$$

What is $$\log_{x}(y^2)$$ ?

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