Free Printable Indices and Logarithms

1.

Find

b^{10}\div b^2

a)

$b^8$

b)

$b5$

c)

$b^{12}$

d)

$b^{102}$

2.

$\frac{y^5}{y^{-3}\times y^2}$

a)

$y^4$

b)

$y^6$

c)

$y^5$

d)

$6y$

3.

If

5^n=125

. Find

n

.

a)

$\frac{1}{3}$

b)

$3$

c)

$-3$

d)

$25$

4.

Which is greater either $264^0$ or $5^0$ ?

a)

$264^0$

b)

$5^0$

c)

They are same

d)

Zero is greater

5.

Calculate $11a^5\times8a^7$

a)

$88a^{12}$

b)

$19a^{12}$

c)

$88a^{35}$

d)

$19a^{35}$

6.

Evaluate the following logarithm

\log_33

a)

$-1$

b)

$1$

c)

$0$

d)

$\frac{1}{2}$

7.

Write in exponential form

\log_28=3

a)

$2^3=8$

b)

$3^2=8$

c)

$2^8=3$

d)

$3^8=2$

8.

Evaluate

\log_41

a)

$1$

b)

$4$

c)

$0$

d)

Undefined

9.

Write

\log_bxy

as two logs

a)

$\log_bx\ +\ \log_by$

b)

$\log_bx\ \times\ \log_by$

c)

$\log_bx\ -\ \log_by$

d)

$\log_bx\ \div\ \log_by$

10.

Evaluate

\log_381

a)

$4$

b)

$\frac{1}{4}$

c)

$-4$

d)

$-\frac{1}{4}$

Indices and Logarithms

Total questions: 10

Worksheet time: 30mins

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