Properties of Logs

Condense: log₂6 + log₂3

• log₂18

• log₂2

• log₂3

• log₂9

Write as a single log: log 12 + 2⋅log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Use multiple log properties to write as a single log:

log₂x - 5log₂y

• $\log_2\ \left(\frac{x}{y^5}\right)$

• $\log_2\left(xy^5\right)$

• $\log_2\left(\frac{x}{y}\right)^5$

• $\log_2\ \left(\frac{x}{5y}\right)$

 $Write\ as\ one\ \log:\ \ 6\ \log\ x\ -\ 3\ \log\ y$  

•  $\log\ \left(xy^3\right)$  

•  $\log\ \left(x^{6\ }-\ y^3\right)$  

•  $\log\ \left(\frac{x^6}{y^{3\ }}\right)$  

•  $\log\ \left(x^{6\ }+\ y^3\right)$  

• log (a⁵ + b²⁵)

• log (a⁵ − b²⁵)

• log (ab²⁵)

• $\log\ \left(\frac{a^5}{b^{25}}\right)$

Condense

• A

• B

• C

• D

Use properties of Logs to write  $\log_3\left(6\right)+\log_3\left(2\right)$  

as one Log

•  $\log_3\left(8\right)\$ 

•  $\log_3\left(4\right)$ 

•  $\log_3\left(12\right)$ 

•  $\log_3\left(3\right)$ 

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Use properties of Logs to write  $2\log_3\left(x\right)+\log_3\left(y\right)$  

as one Log

•  $\log_3\left(2xy\right)\$ 

•  $\log_3\left(x^2y\right)$ 

•  $\log_3\left(xy\right)^2$ 

•  $2\log_3\left(xy\right)$ 

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

Use properties of Logs to write  $2\log_3\left(a\right)+2\log_3\left(b\right)$  

as one Log

•  $\log_3\left(2ab\right)\$ 

•  $\log_3\left(a^2b\right)$ 

•  $\log_3\left(a^2b^2\right)^{ }$ 

•  $\log_3\left(a+b\right)^2$ 

Condense.

• $\log_2\left(x^2y^{10}\right)$

• $\log_2x^2\ +\ \log_2y^{10}$

• $\log_2\ \left(\frac{x^2}{y^{10}}\right)$

• $\log_2\ \left(10xy\right)$