Quiz about Logarithms

Question 1

Simplify $$\log_6 216$$

Accepted Answer

Covalent bond

Answer

$$3$$

Answer

$$4$$

Answer

$$5$$

Answer

$$6$$

Question 2

Simplify $$\log_{8} 1$$

Accepted Answer

Covalent bond

Answer

$$0$$

Answer

$$1$$

Answer

$$2$$

Answer

$$3$$

Question 3

Simplify $$\log_81 \frac{1}{27}$$

Accepted Answer

Covalent bond

Answer

$$-\frac{3}{4}$$

Answer

$$\frac{4}{3}$$

Answer

$$-\frac{4}{3}$$

Answer

$$\frac{3}{4}$$

Question 4

Simplify $$\log_125 5$$

Accepted Answer

Covalent bond

Answer

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

Answer

$$-\frac{3}{4}$$

Answer

$$\frac{2}{3}$$

Answer

$$ -\frac{2}{3}$$

Question 5

Table I contains outputs of the function $${f}({x})=b^{x}$$ for some $${x}$$ values, and Table II contains outputs of the function $${g}({x})=\log _{b}(x)$$ for some $${x}$$ values. In both functions, $${b}$$ is the same positive constant.

Fill in the missing values in the tables. If necessary, round your answer to three decimal places. You do not need a calculator.

![](http://admin.getprephub.com/media/editor/log9_20230116090616328804.png)
Find $$f(1)$$ and also find $$x$$ if $$\log _{b}(x)=3$$

Accepted Answer

Covalent bond

Answer

$$f(1)=2 \log _{b}(8)=3$$

Answer

$$ f(1)=0, \log _{b}(5)=3 $$

Answer

$$f(1)=3, \log _{b}(4)=3 $$

Answer

$$f(1)=5, \log _{b}(3)=3$$

Logarithms Algebra 2 Maths Problems and Solutions

Many students find Logarithms for Algebra 2 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Logarithms from for Algebra 2 preparation.