In mathematics, many logarithmic identities exist. The following is a compilation of the notable of these, many of which are used for computational purposes. Trivial mathematical identities are …

Login Contents of this Precalculus episode: Logarithmic Functions, Logarithmic equations, Exponential identities, Logarithmic identities, solve the exponential equations, Solve the …

Example 1: Solve log 2 (x) + log 2 (x – 2) = 3 Solution : Here we need to use logarithmic identities to combine the two terms on the left-hand side of the equation: log 2 (x) + log 2 (x – 2) = 3

The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. The logarithm of the multiplication of x and y is the sum of logarithm of x and …

log(100) This usually means that the base is really 10. It is called a "common logarithm". Engineers love to use it. On a calculator it is the "log" button. It is how many times we need to …

A logarithm (to base b) of a number x is the exponent y that satisfies x = by. It is written log b (x) or, if the base is implicit, as log (x). Mathematically, expressed as: Natural logarithm (log e (x), …

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