6.5 Retake

 $4\log_4u-6\log_4v$  Condense

•  $\log_4\left(\frac{u}{v}\right)^{24}$  

•  $\log_4\left(\frac{u^6}{v^4}\right)^{ }$  

•  $\log_4\left(\frac{u^4}{v^6}\right)^{ }$  

•  $\log_4\left(\frac{v^6}{u^4}\right)^{24}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.LE.A.4

Expand $\log_4\left(x^5y^2\right)$  

•  $10\log_4\left(x\ +y\right)$  1

•  $5\log_4x+2\log_4y$  

•  $5\log_9x+2\log_9y$  

•  $\log_4\left(5x+2y\right)$  

Tags

CCSS.HSF.BF.B.5

Which expression is equivalent to:

 $\frac{1}{2}\ln\left(a\right)+\frac{1}{2}\ln\left(b\right)$  

•  $\ln\left(ab\right)^2$  

•  $\ln\left(ab^{\frac{1}{2}}\right)$  

•  $\ln\left(\sqrt{ab}\right)$  

•  $\ln\left(a^{\frac{1}{2}}b\right)$  

Condense the following expression into a single logarithm:
 $2\log\left(a\right)+4\log\left(b\right)-9\log\left(c\right)$  

•  $\log\left(a^2b^4c^9\right)$  

•  $\log\left(a^2+b^4-c^9\right)$  

•  $\log\left(\frac{a^2b^4}{c^9}\right)$  

•  $\log\left(\frac{a^2}{b^4c^9}\right)$  

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

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

Solve the log by using change of base )

log₄32

• 8

• 5/2

• 2/5

• 3/2

Tags

CCSS.HSF.BF.B.5

Expand ln 3x²

• ln 3 + ln x²

• ln 3 + 2 ln x

• 2 ln 3 + ln x

• 2 ln 3x

 $Expand\ \log_2\frac{x^4\sqrt{y}}{z}$  

•  $4\log_2x+\frac{1}{2}\log y-\log z$  

•  $4\log_2x+\log\sqrt{y}-\log z$  

•  $\log_2x^4+\log\sqrt{y}-\log z$  

•  $4\log_2x+\frac{1}{2}\log y+\log z$