FOM 3 Log Unit Review

Find the value of y. log5 (25) = y

• y=1
• y=2
• y=3
• y=4

Solve log(x) + log(x-1) = log(3x+12)

• x = -3, 4
• x = -2, 6
• x = -4, 3
• x = -6, 2

Convert to logarithmic form. 8^2 = 64

• log2 (8) = 64
• log64 (2) = 8
• log8 (64) = 2
• log8 (2) = 64

True or False? (log a)(log b) = log(a + b)

• True
• False

True or False? log(a − b) = log a − log b

• False
• True

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1
• 5
• 4
• 1

Write as one logarithm. Simplify, if possible.
log₂800 - log₂100

• 8
• 3
• -3
• 1

Write as one logarithm. Simplify, if possible.
log₅125 - log₅25

• 1
• 0
• 5
• -1

Write as one logarithm. Simplify, if possible.
log₆3 + log₆2

• 0
• log₆5
• log₆1
• 1

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄