Logarithm rules

Which is correct for log_a 2 + log_a 5x = ?

• log_a 10x

• log_a (5x)²

• log_a (2 + 5x)

• log_a 7x

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

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

• -1
• 5
• 4
• 1

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

• 0
• log₆5
• log₆1
• 1

Expand.
Log₅ x³/ y²

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Condense.
6 log₆ x + 2 log₆ y

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

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

• 1
• 0
• 5
• -1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate.
3 log₈2

• ¹/₃
• 3
• 1
• 9

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense

• log₈x³y⁹
• log₈(x³/y⁹)

Tags

CCSS.HSA.SSE.B.3

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSF.IF.C.8

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4