Loga-rithmic Function

= 2 = 100

The logarithm of a number is the expo-nent to which another fixed value, the base, must be raised to produce that number.

Logarithm

read as y is the logarithm of x to the base b

x= y

where x > 0, and b > 0, b ≠ 1.

Logarithms were introduced by John Napier as a means to sim-plify calculations

Logarithm

The logarithm to the base 10 (b = 10) is called the common logarithm and has many applications in sci-ence and engineering, for instance, pH, decibels, and Richter scale.

2= 100= x

The logarithm to the base e is called the natu-ral logarithm and is widely used in pure mathematics such as cal-culus.= 0.69

Characteristics is the whole number part of a logarithm

Components of Loga-rithm

Mantissa is the dec-imal part of a loga-rithm

1. = 1.176

Examples:

2. = 2.397

Drill:Convert each exponential equa-tion to logarithmic or vice-versa.

1. = 64

2. =

3. 64 = 4

4. 5 =

Paired SeatworkAnswer p.329 nos. 1-15 in your notebook

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