Exercise 1 - Logarithms

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OCaml programs

Exercise 1 - Logarithms

First consider mathematics.

Given a positive real number a other than 1 the domain of the logarithm function log_a (logarithm in base a) is the set of all positive real numbers and log_a(x) = ln(x) / ln(a) for any x in this domain (where ln denotes the natural logarithm function).

Now consider programming.

Using  float  values to represent real numbers write the type of the functional value that computes log_a given a positive real number a other than 1. Then write a definition of this functional value (using  log  whose type is  float -> float  and which represents the natural logarithm function). Name this functional value  log_in_base .

Use  log_in_base  to write values that represent log₁₀ and log₂(1024) and write their types.

Exercise 1 - Logarithms

Documentation and user's manual

Table of contents

OCaml programs