Free Printable 6-1 Logarithms and Logarithmic Functions

1.

Write the equation in exponential form

$\log_416\ =\ 2$

a)

$16\ =\ 4^2$

b)

$4\ =16^2$

c)

$4\ =\ 16^2$

d)

$2^2\ =\ 4$

2.

Write the equation in exponential form

$\log_3\ 729\ =6$

a)

$3\ =\ 729^6$

b)

$729\ =\ 3^6$

c)

$6\ =\ 3^{729}$

d)

$3^6\ =\ 729$

3.

Write the equation in exponential form

$\log_8\ 512\ =\ 3$

a)

$8\ =512\ ^3$

b)

$8\ =\ 512^3$

c)

$512\ =8^2$

d)

$512\ =8^3$

4.

Write the equation in exponential form

$\log_5\ 625\ =\ 4$

a)

$5\ =\ 625^2$

b)

$625\ =\ 5^4$

c)

$5\ =\ 625^4$

d)

$625\ =\ 5^2$

5.

Write the equation in logarithmic form

$4^3\ =\ 64$

a)

$\log_4\ 64\ =3$

b)

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

c)

$\log_3\ 4\ =3$

d)

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

6.

Write the equation in logarithmic form

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

a)

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

b)

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

c)

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

d)

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

7.

Write the equation in logarithmic form

$11^3\ =1331$

a)

$\log_3\ 11\ =1331$

b)

$\log_{1331}\ =11$

c)

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

d)

$\log_{11}1331\ =3$

8.

Write the equation in logarithmic form

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

a)

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

b)

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

c)

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

d)

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

9.

Evaluate the expression

$\log_3\ 81$

a)

-4/1

b)

4

c)

-4

d)

-1

10.

Evaluate the expression

$\log_4\ 16$

a)

1/2

b)

-2

c)

4

d)

2

11.

What equation matches the graph?

a)

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

b)

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

c)

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

d)

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

12.

Did you like this Quiz?

(Thank you for solving the quiz ❤ )

a)

Yes I did :)

b)

No I did not !

6-1 Logarithms and Logarithmic Functions

Total questions: 12

Worksheet time: 9mins

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