Quiz about Properties of Log

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

Write log_b(x/y) 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 4

Rewrite log_b(xⁿ)

Accepted Answer

nlogbx

Answer

(log_bx)ⁿ

Answer

xnlogbx

Answer

log_b(xⁿ)

Question 5

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 6

log 12 - log 4 = log 8

Accepted Answer

False

Answer

True

Question 7

BONUS: Expand log₆(5x³/y).

Accepted Answer

log₆5+3log₆x-log₆y

Answer

log₆5x³-log₆y

Answer

log₆5+log₆x³-log₆y

Question 8

When you have two log expressions separated by a minus sign (-), we really need to ___________ them to simplify into one log expression.

Accepted Answer

divide

Answer

add

Answer

subtract

Answer

multiply

Question 9

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 10

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

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

Properties of Log

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