Quiz about Indices and Logarithms

Question 1

Find $$b^{10}\div b^2$$

Accepted Answer

$$b^8$$

Answer

$$b^5$$

Answer

$$b^{12}$$

Answer

$$b^{20}$$

Question 2

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

Accepted Answer

$$y^6$$

Answer

$$y^4$$

Answer

$$y^5$$

Answer

$$6y$$

Question 3

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

Accepted Answer

3

Answer

25

Answer

$$\frac{1}{3}$$

Answer

-3

Question 4

Evaluate the following logarithm $$\log_33$$

Accepted Answer

1

Answer

-1

Answer

0

Answer

$$\frac{1}{2}$$

Question 5

Write in exponential form $$\log_28=3$$

Accepted Answer

$$2^3=8$$

Answer

$$3^2=8$$

Answer

$$2^8=3$$

Answer

$$3^8=2$$

Question 6

Evaluate $$\log_{\frac{1}{2}}1$$

Accepted Answer

0

Answer

2

Answer

1

Answer

$$\frac{1}{2}$$

Question 7

Solve $$3^{3x+6}=\frac{1}{27}$$

Accepted Answer

$$x=-3$$

Answer

$$x=-1$$

Answer

$$x=-9$$

Answer

$$x=6$$

Question 8

Simplify $$\frac{1}{2}\log_{ }4-\log_{ }6$$

Accepted Answer

$$\log_{ }\left(\frac{1}{3}\right)$$

Answer

$$\log_{ }3$$

Answer

$$\log_{ }\left(\frac{1}{2}\right)$$

Answer

$$\log_{ }\left(\frac{2}{3}\right)$$

Question 9

Simplify log₃9 + log₃27.

Accepted Answer

5

Answer

-1

Answer

4

Answer

1

Question 10

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Indices and Logarithms

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