Combining Logarithmic Expressions (5.8.3)

Question 1

• To combine logarithms, use their properties backward to convert addition and subtraction into multiplication and division.

Answer 1

• To combine logarithms, use their properties backward to convert addition and subtraction into multiplication and division.

Question 2

• A common logarithm is one with no base stated. The base is understood to be 10.

Answer 2

• A common logarithm is one with no base stated. The base is understood to be 10.

Question 3

• A natural logarithm (ln) has e as its base.

Answer 3

• A natural logarithm (ln) has e as its base.

Question 4

• A log written without a “b” value is the common log.

y = logx

In a common log, the “b” value is understood to be 10. In other words, y = logx is equivalent to the statement 10y
= x.

Answer 4

• A log written without a “b” value is the common log.

y = logx

In a common log, the “b” value is understood to be 10. In other words, y = logx is equivalent to the statement 10y
= x.