Quiz about Properties of Log and Exponents

Question 1

Condense
no calculator

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 2

eln(f)

Accepted Answer

f

Answer

e

Answer

ef

Answer

undefined

Question 3

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

Accepted Answer

5

Answer

-1

Answer

4

Answer

1

Question 4

Simplify the expression
log(30)-log(6)

Accepted Answer

log(5)

Answer

-6log(30)

Answer

log(24)

Answer

log(-24)

Question 5

True or False

$$\ln\left(x+3\right)-\ln\left(2x\right)=\frac{\ln\left(x+3\right)}{\ln\left(2x\right)}$$

Accepted Answer

False, subtraction between two logarithms is division within a single logarithm in condensed form.

Answer

True, subtraction between two logarithms is division in condensed form.

Answer

True, a logarithm is an exponent. When dividing like bases you subtract exponents therefor dividing logarithms as in this example.

Question 6

Use multiple log properties to write as a sum or difference of two logs: log(4x³)

Accepted Answer

log 4 + 3log x

Answer

3log 4 + 3log x

Answer

3log 4 + log x

Answer

log 12 + log x

Question 7

Use multiple log properties to write as a single log:
log₂x - 5log₂y

Accepted Answer

log₂(x/y⁵)

Answer

log₂(xy⁵)

Answer

log₂(x/y)⁵

Answer

log₂(x/5y)

Question 8

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 9

Solve:

log (x - 1) - log (x - 2) = log 5

Accepted Answer

9/4

Answer

7

Answer

4/9

Answer

1/7

Question 10

ln(x+8) - ln (8) = 3

Accepted Answer

152.68

Answer

188.77

Answer

4.24

Answer

8.01

Properties of Log and Exponents

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