Properties of Logarithms

• log (a⁵ + b²⁵)
• log (a⁵ − b²⁵)
• log (ab²⁵)
• log (a⁵/b²⁵)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

• A
• B
• C
• D

• A
• B
• C
• D

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

• w = h^d

• w^d = h

• h = w^d

• h^w = d

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Evaluate the following logarithm:

log₃(¹/₃)

• -2

• -¹/₂

• -1

• ¹/₂

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