Logarithms Characteristics

• True, subtraction between two logarithms is division in condensed form.

• True, a logarithm is an exponent. When dividing like bases you subtract exponents therefor dividing logarithms as in this example.

• False, subtraction between two logarithms is division within a single logarithm in condensed form.

Use the change of base formula and your calculator to approximate the log.

• A

• B

• C

• D

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Expand

• A

• B

• C

• D

Expand

• A

• B

• C

• D