Free Printable AMA Unit 9 Test

1.

log1000

(a)

2.

Evaluate $\log_82$

(a)

3.

Describe the transformation of the function $\log\ x\ =\ y\ to\ \log\left(x+7\right)\ -\ 9\ =y$

a)

Right 7

Up 9

b)

Left 7

Up 9

c)

Right 9

Up 7

d)

Left 7

Down 9

4.

Condense the expression $3\log_2\ x\ -\ \log_2\ t\ +\log_2\ m$

a)

$\log_2\ \left(\frac{x^3m}{t}\right)$

b)

$3\log_2\ \left(\frac{xm}{t}\right)$

c)

$\log_2\ \left(x^3m\right)\div\log_2\ t$

d)

$\log_2\ \left(\frac{3x}{mt}\right)$

5.

Condense the expression $2\log\left(x+3\right)\ -\log9$

a)

$\log\ \left(\frac{x^2+6x+9}{9}\right)$

b)

$\log\ \left(x^2+6x\right)$

c)

$\log\left(\frac{2x+6}{9}\right)$

d)

$2\log\left(x+3\right)\ -\log9$

6.

Expand the expression $\log\left(\frac{5x^2}{y}\right)$

a)

$\log5\ +2\log x\ -\ \log y$

b)

$\log5+\log2x\ -\ \log y$

c)

$2\log5\ +2\log x\ -\log y$

d)

$\log25+\log x^{2\ }-\ \log y$

7.

Expand the expression $\log_3\ xy$

a)

$\log_3x+\log_3y$

b)

$3\log x\ +3\log y$

c)

$\log_3\ x+y$

d)

$\log_3\ x\ -\log_3\ y$

8.

Find the inverse of the function $y=\log_3\ \left(x-6\right)\ +7$

a)

$y=3^{\ x-7}\ +6\$

b)

$x=\log_3\ \left(y-6\right)\ +7$

c)

$y=\frac{1}{\log_3\ \left(x-6\right)\ +7}$

d)

$y=\log_3\ x\ -\ \log_3\ 6\ +7$

9.

Solve the equation $\log\left(x-3\right)+\log x=\log18$

(a)

10.

Solve the equation $\log_4\ x=2$

(a)

11.

Solve the equation $\log\left(2x-1\right)+9=7$

a)

No solution

b)

0.505

c)

-2

d)

7

12.

How much brighter is a star of magnitude 1 than magnitude 8?

a)

251.257 times brighter

b)

631.157 times brighter

c)

1585.467 times brighter

d)

7 times brighter

AMA Unit 9 Test

Total questions: 12

Worksheet time: 8mins

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