Week of 5/11 - 5/15_9-3: Logarithmic Properties

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.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Evaluate log_b(b)

• -1
• 0
• 1
• b

Tags

CCSS.HSF.BF.B.5

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

Condense  $5\ \log_2\ 12$  

•  $\log_2\ \frac{12}{5}$  

•  $\log_5\ \sqrt{12}$  

•  $\log_2\ 12^5$  

•  $\log_2\left(12\times5\right)$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Condense:  $\log_3\left(x\right)+\log_3\left(y\right)$  

•  $\log_3\left(x\right)\cdot\log_3\left(y\right)$  

•  $\log_3\left(xy\right)$  

•  $\log_3\left(\frac{x}{y}\right)$  

•  $\frac{\log_{3\ }x}{\log_3\ y}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Expand  $\log_6\left(7x^5y\right)$  

•  $\log_6\left(7\right)+\log_6\left(x^5\right)+\log_6\left(y\right)$  

•  $\log_6\left(7\right)+5\log_6\left(x\right)+\log_6\left(y\right)$  

•  $\log_6\left(7x^5\right)+\log_6\left(y\right)$  

•  $5\log_6\left(7x\right)+\log_6\left(y\right)$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Expand  $\log\left(a^2b\right)$  

• 2log(a) + log(b)

• 2log(a) + 2log(b)

• log(a) + log(b)

• 2log(a) * log(b)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

• $\log\left(xy^3\right)$

• $\log\left(x^6-y^3\right)$

• $\log\left(\frac{x^6}{y^3}\right)$

• $\log\left(x^6y^3\right)$

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Expand . Choose the best answer. $\log\ \frac{x^2}{y^3}$  

• log x² + log y³

• 2 log x - 3 log y

• log x - log y

•  2 log x  $\div$   3 log y

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8