Quiz about Evaluate Logarithms

Question 1

Evaluate $$\log_52+\log_520-\log_54$$ . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.

Accepted Answer

$$1.4307$$

Answer

$$-1.4307$$

Answer

$$1.3470$$

Answer

$$-1.347$$

Question 2

Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7

Accepted Answer

log 98

Answer

log 78

Answer

log 56

Answer

log 45

Question 3

Evaluate $$\log_6\ \frac{1}{36}+\log_636-5^{\log_61}$$ . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.

Accepted Answer

$$1$$

Answer

$$5$$

Answer

$$12$$

Answer

$$0$$

Question 4

Evaluate $$\log_6\ \frac{1}{216}+\log_24+\log_2\ \frac{1}{8}$$ . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.

Accepted Answer

$$-4$$

Answer

$$4$$

Answer

$$2$$

Answer

$$5$$

Question 5

Evaluate $$\log_330-\log_4\ 4^5$$ . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.

Accepted Answer

$$-1.9041$$

Answer

$$1.9041$$

Answer

$$19,041$$

Answer

$$9,041$$

Question 6

Evaluate $$1000^{\log_{10}4}-\log_464+25^{\log_510}$$ . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.

Accepted Answer

$$161$$

Answer

$$61$$

Answer

$$-161$$

Answer

$$126$$

Question 7

log₅125 = ?

Accepted Answer

3

Answer

2

Answer

4

Question 8

Evaluate b^log_b(x)

Accepted Answer

x

Answer

b

Answer

1

Answer

0

Question 9

Solve for x:
log₄ x = 3

Accepted Answer

64

Answer

4

Answer

12

Answer

32

Question 10

Solve for x: log_x 243 = 5

Accepted Answer

3

Answer

12

Answer

32

Answer

64

Question 11

log₂128 = ?

Accepted Answer

7

Answer

3

Answer

5

Question 12

Evaluate the following logarithm:

log₃27

Accepted Answer

3

Answer

2

Answer

-3

Answer

1/3

Question 13

Solve for x: log₂ x = 5

Accepted Answer

32

Answer

4

Answer

12

Answer

64

Question 14

Solve for x: log_x 64 = 3

Accepted Answer

4

Answer

12

Answer

32

Answer

64

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