Basics of Logarithms

Simplify the expression
log(30)-log(6)

• -6log(30)

• log(24)

• log(-24)

• log(5)

Evaluate log₈ 8

• 8

• -1

• 0

• 1

Evaluate the following logarithm:

log₈√8

• -¹/₂

• -1

• 1

• ¹/₂

Simplify log₄4^3x

^{(Hint: look closely this has a log base 4 AND and exponential base 4 both in the same problem)}

• 3x

• 3

• 4

• 4^3x

State the property (s) used to simplify the expression

• Product Property

• Quotient Property

• Power Property

• Product and Power Property

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Write the logarithm expression as a single logarithm

log₆25 - log₆5

• log₆125

• log₅20

• log₆5

• log₆30

Write as one logarithm. Simplify, if possible.

(log 3 - log 6) + log 2

• log 4

• log 2

• log 1

• log 6

Use the change of base rule to rewrite this problem:

log₂16

• log(16)/log(2)

• log(2)/log(16)

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D