Free Printable Logarithm Properities

1.

Which is the power property of logarithms?

a)

$\log_b\left(x\cdot y\right)=\log_bx\ +\log_by$

b)

$\log_b\left(\frac{x}{y}\right)\ =\ \log_bx\ -\log_by$

c)

$\log_b\ x^n\ =n\log_bx$

2.

Which is the product property of logarithms?

a)

$\log_b\left(x\cdot y\right)\ =\log_bx\ +\log_by$

b)

$\log_b\left(\frac{x}{y}\right)\ =\ \log_bx\ -\ \log_by$

c)

$\log_bx^n=n\log_bx$

3.

What is the quotient property of logarithms?

a)

$\log_bx^n=n\log_bx$

b)

$\log_b\left(\frac{x}{y}\right)=\log_bx\ -\log_by$

c)

$\log_b\ \left(x\cdot y\right)=\log_bx\ +\ \log_by$

4.

Expand the Log:
$\log_2\left(3x\right)$

a)

$\log_23\ -\ \log_2x$

b)

$\log_23\ +\ \log_2x$

c)

$\log_2x\ -\ \log_23$

5.

Condense the Log:
$3\log_23$

a)

$\log_29$

b)

$\log_23$

c)

$\log_218$

d)

$\log_227$

6.

$\log\left(\frac{4}{5}\right)$ Expand the Log

a)

$\log4\ +\log5$

b)

$\log\ 20$

c)

$\log4\ -\log5$

7.

Condense the Log
$\log\ x^3\ +\ \log2x^5$

a)

$\log\ 2+x^8$

b)

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

c)

$\log\ 2x^8$

d)

$\log2x^{15}$

8.

$\log\ x^9\ -\ \log x^3$ Condense the Log

a)

$\log x^6$

b)

$\log x^{18}$

c)

$\log x^{12}$

d)

$\log x^3$

9.

Evaluate $lo g_{2} 40$

a)

0.19

b)

1.30

c)

5.32

d)

-1.30

10.

You deposit $3000 in an account that pays 10% annual interest compounded continuously. What is the balance after 10 years?

a)

$6607.94

b)

$8154.85

c)

$7781.23

d)

$1046.04

Logarithm Properities

Total questions: 10

Worksheet time: 9mins

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