Quiz about Properties of Logarithms

Question 1

Write log_b(xy) as two logs

Accepted Answer

log_bx+log_by

Answer

log_bx-log_by

Answer

log_bx*log_by

Answer

log_bx/log_by

Question 2

Use the properties of logarithms to retwrite

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 3

Use the properties of logarithms to rewrite as the sum of two logarithms: \log55

Accepted Answer

log 11 + log 5

Answer

log 40 + log 15

Answer

log 50 + log 5

Question 4

Expand:

Accepted Answer

$$\frac{1}{3}\left(2\log_5x\ +\ 3\log_5y\ -\ 5\log_5z\right)$$

Answer

$$\frac{1}{3}\left(2\log_5x\ -\ 3\log_5y\ -\ 5\log_5z\right)$$

Answer

$$\frac{1}{3}\left(2\log_5x\ +\ 3\log_5y\ +\ 5\log_5z\right)$$

Answer

$$2\log_5x\ +\ 3\log_5y\ -\ 5\log_5z$$

Question 5

When you have a log expression with a number in front of it, we really need to ___________ .

Accepted Answer

make the number an exponent at the end of the log expression.

Answer

multiply it with the log expression.

Answer

add it to the log expression.

Answer

subtract it from the log expression.

Question 6

Question 6.

Accepted Answer

log₈(x) + log₈(y) + 6log₈(z)

Answer

6log₈(xyz)

Answer

log₈(x) - log₈(y) - 6log₈(z)

Answer

log₈(x) + log₈(y) - log₈(z)

Question 7

Expand using the properties of Logaritms $$\log_{ }\ \frac{x^3}{y^4z}$$

Accepted Answer

$$3\log_{ }x-4\log_{ }y\ -\log_{ }z$$

Answer

$$\log_{ }x+4\log_{ }y\ +\log_{ }z$$

Answer

$$3\log_{ }x+4\log_{ }y\ +\log_{ }z$$

Answer

$$3\log_{ }x-4\log_{ }y\ +\log_{ }z$$

Properties of Logarithms