Properties of Logarithms

Condense

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Write log_b(xy) as two logs

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Write log_b(x/y) as two logs

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

Tags

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Condense the Logarithms $2\log_8a-\left(\log_8c+3\log_8b\right)$  

•  $\log_8\left(\frac{a^2}{b^3c}\right)$  

•  $\log_8\frac{a^2}{3bc}$   

•   $\log_8\left(2a3bc\right)$  

•  $\log_8\left(a^2-c+b^3\right)$  

Tags

CCSS.HSF.BF.B.5

• log₅(x²z²y¹⁰)
• log₅(z²y²x¹⁰)
• log(zy²x¹⁰)
• log₅(z² + y² + x¹⁰)

Tags

CCSS.HSF.BF.B.5