Properties of Logarithms

expand log_b(xy) 

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by

Expand log₆(5x³/y).

• log₆5x³-log₆y
• log₆5+log₆x³-log₆y
• log₆5+3log₆x-log₆y

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

Condense/ write as a single logarithm.

• A

• B

• C

• D

Condense/ write as a single logarithm.

• logxyz³

• log(xy/z³)

• logx+logy+logz³

• logx³y³z³

Condense/ write as a single logarithm.

• log₈(x⁶)/log₈(y³)

• log₈(x⁶/y³)

• log₈(x/y³)

• log₈(x⁶y³)

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

• -1
• 5
• 4
• 1

Tags

CCSS.HSF.BF.B.5

Condense. 

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

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

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5