Question

Semester 2 Final Exam:

https://docs.google.com/document/d/18MQ3MtI3sO_uhB5StLezblcDur2eoAlXhvclw8X6B1s/edit

Answer 1

1.

a)

x=2

b)

$(-\infin,2)$

c)

$[-4,\infin)$

2.

a)

Inverses, because the graphs are symmetric respect to the line between them.

b)

Not inverses, because the graphs have not symmetry.

3.

$y=6log(x-7)+2$

4.

$y=\sqrt{x}$

a.

$y=\sqrt{x}/5$

b.

$y=\sqrt{x+5}/5$

c.

$y=\sqrt{x+5}/5-8$

5.

a)

$log_710x=log_710+log_7x$

b)

$log_210^5=5log_210$

6.

a)

$log_8x+log_8y=log_8(xy)$

b)

$log_75-log_710=log_7(5/10)=log_70.5$

7.

a)

$6^2=36$

b)

$10^0=1$

8.

a)

$log_525=2$

b)

$log_464=3$

9.

$6^{2x+5}=6^{x-2}$

$x=-7$