Quiz about 6-1 Logarithms and Logarithmic Functions

Question 1

Write the equation in exponential form

$$\log_416\ =\ 2$$

Accepted Answer

$$16\ =\ 4^2$$

Answer

$$4\ =16^2$$

Answer

$$4\ =\ 16^2$$

Answer

$$2^2\ =\ 4$$

Question 2

Write the equation in exponential form

$$\log_3\ 729\ =6$$

Accepted Answer

$$729\ =\ 3^6$$

Answer

$$3\ =\ 729^6$$

Answer

$$6\ =\ 3^{729}$$

Answer

$$3^6\ =\ 729$$

Question 3

Write the equation in exponential form

$$\log_8\ 512\ =\ 3$$

Accepted Answer

$$512\ =8^3$$

Answer

$$8\ =512\ ^3$$

Answer

$$8\ =\ 512^3$$

Answer

$$512\ =8^2$$

Question 4

Write the equation in exponential form

$$\log_5\ 625\ =\ 4$$

Accepted Answer

$$625\ =\ 5^4$$

Answer

$$5\ =\ 625^2$$

Answer

$$5\ =\ 625^4$$

Answer

$$625\ =\ 5^2$$

Question 5

Write the equation in logarithmic form

$$4^3\ =\ 64$$

Accepted Answer

$$\log_4\ 64\ =3$$

Answer

$$\log_{64}\ 4\ =3$$

Answer

$$\log_3\ 4\ =3$$

Answer

$$\log_{64}\ 3\ =4$$

Question 6

Write the equation in logarithmic form

$$125^{\frac{1}{3}}\ =\ 5$$

Accepted Answer

$$\log_{125}\ 5\ =\frac{1}{3}$$

Answer

$$\log_5\ \frac{1}{3}\ =5$$

Answer

$$\log_5\ 125\ =\frac{1}{3}$$

Answer

$$\log^{\frac{1}{3}}\ 125\ =\ 5$$

Question 7

Write the equation in logarithmic form

$$11^3\ =1331$$

Accepted Answer

$$\log_{11}1331\ =3$$

Answer

$$\log_3\ 11\ =1331$$

Answer

$$\log_{1331}\ =11$$

Answer

$$\log_{1331}\ 3\ =11$$

Question 8

Write the equation in logarithmic form

$$16^{\frac{3}{4}}=8$$

Accepted Answer

$$\log_{16\ }8=\frac{3}{4}$$

Answer

$$\log^{\frac{3}{4}}\ 8\ =16$$

Answer

$$\log_8\ \frac{3}{4}\ =16$$

Answer

$$\log_8\ 16\ =\frac{3}{4}$$

Question 9

Evaluate the expression

$$\log_3\ 81$$

Accepted Answer

4

Answer

-4/1

Answer

-4

Answer

-1

Question 10

Evaluate the expression

$$\log_4\ 16$$

Accepted Answer

2

Answer

1/2

Answer

-2

Answer

4

Question 11

What equation matches the graph?

Accepted Answer

$$f\ \left(x\right)\ =\ \left(\frac{1}{3}\right)^x$$

Answer

$$f\ \left(x\right)\ =\ \log^{\frac{1}{3}}\left(x\right)$$

Answer

$$f\ \left(x\right)\ =\ 3^x$$

Answer

$$f\ \left(x\right)\ =\ \log_3\left(x\right)$$

6-1 Logarithms and Logarithmic Functions

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