1 pt
DOK: 2

5.

Which of these $3{\mathrm{log}}_{6}8-{\mathrm{log}}_{6}32$ written as a single logarithm?

A

${\mathrm{log}}_{6}\left(\frac{3}{8}\right)$

B

${\mathrm{log}}_{6}\left(\frac{3}{4}\right)$

C

${\mathrm{log}}_{6}8$

D

${\mathrm{log}}_{6}16$

1 pt
DOK: 2

6.

What is the domain and range of the exponential function $y={7}^{x}$?

A

The domain is all real numbers, and the range is all real numbers.

B

The domain is all real numbers, and the range is all real numbers greater than 0.

C

The domain is all real numbers greater than 0, and the range is all real numbers.

D

The domain is all real numbers greater than 0, and the range is all real numbers greater than 0.

1 pt
DOK: 2

9.

If the function $f\left(x\right)={\mathrm{log}}_{7}x$ were transformed to produce the graph of the function $f\left(x\right)=-15{\mathrm{log}}_{7}x$, which of these transformations were applied?

A

A vertical compression and a reflection across the *x*-axis

B

A vertical compression and a reflection across the *y*-axis

C

A vertical stretch and a reflection across the *x*-axis

D

A vertical stretch and a reflection across the *y*-axis

1 pt
DOK: 2

10.

If the graph of the function $f\left(x\right)=\mathrm{ln}x$ were translated 5 unites to the right and 10 unites down, what would be the equation of the resulting graph?

A

$f\left(x\right)=\mathrm{ln}(x-5)-10$

B

$f\left(x\right)=\mathrm{ln}(x-5)+10$

C

$f\left(x\right)=\mathrm{ln}(x+5)-10$

D

$f\left(x\right)=\mathrm{ln}(x+5)+10$

1 pt
DOK: 2

11.

What is the solution to the equation ${\left(\frac{1}{4}\right)}^{x}=150$ rounded to two decimal places?

A

*x*=-3.61

B

*x*=-0.28

C

*x*=0.28

D

*x*=3.61