Logarithms Assessment

1

11

-1

 $\frac{5}{6}$  

 $\log\frac{4}{w^2}$  

 $\log6w^2$  

 $\log4w^2$  

 $\log\frac{6}{w^2}$  

Divide by 125

Use expansion to "bring the exponents down"

Set the exponents equal to each other

Rewrite the bases as powers of 5

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

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

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

no solution

 $x^2-3x-18=0$  

 $x^2+3x+6=0$  

 $x^2-3x-6=0$  

 $x^2-x-9=0$  

log both sides

rewrite as an exponential

nothing, you would not be able to solve it

divide both sides by 2

 $\left(-\infty,\infty\right)$  

 $\left(5,\infty\right)$  

 $\left(1,\infty\right)$  

 $\left(-1,\infty\right)$  

 $\left(-\infty,\infty\right)$  

 $\left(5,\infty\right)$  

 $\left(2,\infty\right)$  

 $\left(1,\infty\right)$  

 $x=-4$  

 $y=2$  

 $x=4$  

 $y=-2$  

3

-2

-3

There is no vertical stretch