Logarithms Definition Graphing

What’s a Log? the logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce that number Number Base Exponent

Specific Bases Common Log  Base 10 Natural Log (ln)  Base e

Form-to-Form Converting Exponential Form Logarithmic Form

Rewrite in Exponential Form

Rewrite in Logarithmic Form

Applying the Definition of a Log 1 2 4

Calculating a Log Turn Calculator ON. Push Appropriate Button (LOG or LN) Type number Push Enter

Graphing Logs

Transforming Logs h –Horizontal Shift –Opposite Direction k –Vertical Shift –In That Direction

Transforming Logs h –Horizontal Shift –Opposite Direction k –Vertical Shift –In That Direction

Transforming Logs h –Horizontal Shift –Opposite Direction k –Vertical Shift –In That Direction