Quiz Properties of Logs

Write the equation in logarithmic form.

 $4^6=4096$  

•  $\log_{ }4096=6$  

•  $\log_44096=6$  

•  $\log_{ }4096=6\cdot4$  

•  $\log_64096=4$  

Tags

CCSS.HSF.BF.B.5

Evaluate the logarithm

 $\log_3\ \frac{1}{81}$  

• 3

• 4

• -3

• -4

Evaluate the logarithm

 $\log_5125$  

• -3

• 2

• 3

• 5

Evaluate the logarithm

 $\log_{ }0.01$  

• -2

• -10

• 2

• 10

Write the equation in exponential form

 $\log_{32}8=\frac{3}{5}$  

•  $\left(\frac{3}{5}\right)^{32}=8$  

•  $8^{\frac{3}{5}}=32$  

•  $32^{\frac{3}{5}}=8$  

•  $8^{\frac{5}{3}}=32$  

Tags

CCSS.HSF.BF.B.5

Write the expression as a single logarithm.

 $7\log_bv\ +8\log_by$  

•  $\log_b\left(vy^{\left(7+8\right)}\right)$  

•  $\log_b\left(v^7y^8\right)$  

•  $\left(7+8\right)\log_b\left(v+y\right)$  

•  $\log_b\left(v^7+v^8\right)$  

Write the expression as a single logarithm

 $\log_{12}14-\log_{12}7$  

•  $\log_{ }2$  

•  $\log_{12}2$  

•  $\log_{ }7$  

•  $\log_{12}7$  

Write the expression as a single logarithm

 $4\log_{ }x-6\log_{ }\left(x+2\right)$  

•  $\log_{ }x\left(x+2\right)^{24}$  

•  $24\ \log\ \frac{x}{x+2}$  

•  $\log_{ }x^4\left(x+2\right)^6$  

• none of these

Expand the logarithmic expression

 $\log_3\ \frac{b}{12}$  

•  $-b\log_312$  

•  $\log_3b-\log_312$  

•  $\log_312-\log_3b$  

•  $\frac{\log_3b}{\log_312}$  

Expand the logarithmic expression

 $\log_25c^2$  

•  $\log_25+2\log_2c$  

•  $\log_25-2\log_2c$  

•  $\log_25\cdot2\log_2c$  

•  $5\log_2c^2$