Logarithm%20Properties%20-%20Change%20of%20Base

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Logarithm Properties - Change of Base

• The Change of Base rule for logarithms states
  that ...

• Any real number can be used for the new base a
  as long as it is a number for which logs are
  defined.

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Logarithm Properties - Change of Base

• Example 1

Slide 2
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Logarithm Properties - Change of Base

• One of the most important uses of the change of
  base formula is to enter expressions and
  functions into the calculator. The calculator
  has keys for both base 10 (LOG) and base e (LN).

• Example 2

• Note both values are equal ...

Slide 3
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Logarithm Properties - Change of Base

• Example 3

Use a calculator to sketch the graph of the
function ...

• Use the change of base formula and LN to enter
  the function into Y1 ...

• A ZOOMZStandard window yields ...

• Note the vertical asymptote at x 1.

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Logarithm Properties - Change of Base
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