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Logarithm properties can be used to evaluate expressions when certain logarithm values are ________. If...

Logarithm properties can be used to evaluate expressions when certain logarithm values are ________.
If log<sub>5</sub>(2) and log<sub>5</sub>(4) are known, then log<sub>5</sub>(10) can be evaluated using the ________ property.
If log<sub>8</sub>(12) and log<sub>8</sub>(3) are known, then log<sub>8</sub>(4) can be evaluated using the ________ property.
A logarithm with base 10 is called a ________ logarithm.
When no base is written, log(x) means ________.

Answer

  1. Logarithm properties can be used to evaluate expressions when certain logarithm values are known.

  2. If log5(2) and log5(4) are known, then log5(10) can be evaluated using the product property.

  3. If log8(12) and log8(3) are known, then log8(4) can be evaluated using the quotient property.

  4. A logarithm with base 10 is called a common logarithm.

  5. When no base is written, log(x) means log10(x).

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