Logarithms Assessment

 $5\log_yy-2\log_yy^{-3}$  

• 1

• 11

• -1

•  $\frac{5}{6}$  

 $\log8-\log2+2\log w$  

•  $\log\frac{4}{w^2}$  

•  $\log6w^2$  

•  $\log4w^2$  

•  $\log\frac{6}{w^2}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

 $\left(\frac{1}{5}\right)^{\left(x-2\right)}=125^{\left(2x-5\right)}$  
What would be the BEST first step in solving the equation?

• Divide by 125

• Use expansion to "bring the exponents down"

• Set the exponents equal to each other

• Rewrite the bases as powers of 5

Solve for x.

•  $\frac{\log6-3\log3}{4\log3-2\log6}$  

•  $\frac{\log6+3\log3}{4\log3-2\log6}$  

•  $\frac{2\log6+\log6}{4\log3-3\log3}$  

• no solution

 $\log_4x^2=\log_43+\log_4\left(x+6\right)$  

Which quadratic equation would you wind up solving when solving the log equation?

•  $x^2-3x-18=0$  

•  $x^2+3x+6=0$  

•  $x^2-3x-6=0$  

•  $x^2-x-9=0$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

 $4\log_2\left(2x+24\right)-17=-9$  
Once you have isolated the log in the equation, what would be the next step?

• log both sides

• rewrite as an exponential

• nothing, you would not be able to solve it

• divide both sides by 2

 $f\left(x\right)=2\log_3\left(x+1\right)+5$  
What is the domain of the function?

•  $\left(-\infty,\infty\right)$  

•  $\left(5,\infty\right)$  

•  $\left(1,\infty\right)$  

•  $\left(-1,\infty\right)$  

 $f\left(x\right)=2\log_3\left(x+1\right)+5$ 
What is the range of the function?

•  $\left(-\infty,\infty\right)$  

•  $\left(5,\infty\right)$  

•  $\left(2,\infty\right)$  

•  $\left(1,\infty\right)$  

 $g\left(x\right)=-3\ln\left(x-4\right)-2$  
What is the asymptote of the function?

•  $x=-4$  

•  $y=2$  

•  $x=4$  

•  $y=-2$  

 $g\left(x\right)=-3\ln\left(x-4\right)-2$  

What is the vertical stretch of the function?

• 3
  

• -2

• -3

• There is no vertical stretch