Condensing Logarithms - Do Now

Condense

 $5\log_2z-\log_23+\frac{1}{2}\log_2\left(x-7\right)$  

•  $\log_2\ \frac{z^5}{3\sqrt{x-7}}$  

•  $\log_5\ \frac{z^5}{3\sqrt{x-7}}$  

•  $\log_2\ \frac{z^5}{3\left(x-7\right)}$  

Condense

 $2\ln a+5\ln b+3\ln c-2\ln x+3\ln y+\frac{1}{2}\ln m$  

•  $\ln\ \frac{a^2b^5c^3}{x^2y^3\sqrt{m}}$  

•  $\ln\ \frac{a^2b^5c^3}{x^{-2}y^3\sqrt{m}}$  

•  $\ln\ \frac{a^2b^{-5}c^3}{x^2y^3\sqrt{m}}$  

Condense

 $3\log_5x+\log_5y+\frac{1}{2}\log_5\left(x-3\right)$  

•  $\log_5x^3y\sqrt{x-3}$  

•  $\log_5x^3y^{-1}\sqrt{x-3}$  

•  $\log_5x^3y\ \frac{1}{2}\left(x-3\right)$  

Condense

 $2\ln x-\frac{1}{2}\ln4x+1$  

•  $\ln\ \frac{x^2}{\sqrt{4x+1}}$  

•  $\ln\ \frac{x^2}{4x+1}$  

•  $\ln\ \frac{x^2}{\left(4x+1\right)^{\frac{1}{2}}}$  

Describe the transformation when:

 $f\left(x\right)=3^x,\ g\left(x\right)=-2\left(3\right)^{-x+3}-7$  

• reflect x-axis, expand vertically, reflect y-axis, down 3 units, down 7 units

• reflect x-axis, expand vertically, reflect y-axis, right 3 units, down 7 units

• reflect x-axis, expand vertically, reflect y-axis, left 3 units, down 7 units

Tags

CCSS.HSF.BF.B.3