Free Printable QUIZ 2 Indices and logarithm

1.

If $5^n=125$ , find n.

a)

25

b)

$\frac{1}{3}$

c)

-3

d)

3

2.

Evaluate the value of x in $\log_33=x$

a)

1

b)

-1

c)

0

d)

$\frac{1}{2}$

3.

Write $\log_28=3$ in index notation

a)

$2^3=8$

b)

$3^2=8$

c)

$2^8=3$

d)

$3^8=2$

4.

$Simplify\ \left(\sqrt{t}\right)^3\times\left(^5\sqrt{t}\right)^2$

a)

$t^{\frac{10}{9}}$

b)

$t^{\frac{19}{10}}$

c)

$t^9$

d)

$t^{\frac{9}{10}}$

5.

Write $2^{-4}=\frac{1}{16}$ in logarithmic equation.

a)

$\log_2\left(\frac{1}{16}\right)=-4$

b)

$\log_{-4}2=\frac{1}{16}$

c)

$\log_{-4}\left(\frac{1}{16}\right)=2$

d)

$\log_{2x}\left(-4\right)=\frac{1}{16}$

6.

Solve log₅(4x-7) =log₅(x+5).

a)

x=4

b)

x=-4

c)

x=3

d)

x=-2

7.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

8.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

9.

Given $y=x^4$ . Find the value of y when $x=-5$ .

a)

$-625$

b)

$-20$

c)

$625$

10.

Solve

3^{x-1}=27

a)

$x=2$

b)

$x=3$

c)

$x=4$

d)

$x=5$

QUIZ 2 Indices and logarithm

Total questions: 10

Worksheet time: 3hrs 30mins

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