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• Exponents and Logarithms
• Logarithm tests
• Basic properties of Logarithms

# Basic properties of Logarithms

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•  Question 1: 1 pts Evaluate. $$\log_{a}1$$
 $0$ $1$ $-1$ $2$
•  Question 2: 1 pts Evaluate. $$\log_{a}a$$
 $0$ $1$ $-1$ $2$
•  Question 3: 1 pts Simplify. $$\log_{a}(-17)$$
 $0$ $1$ $-1$ none of these
•  Question 4: 2 pts Simplify. $$\log_{8}8$$
 $1$ $2$ $-1$ $0$
•  Question 5: 2 pts Solve. $$\log_{8}x=1$$
 $1$ $8$ $16$ $64$
•  Question 6: 2 pts Solve. $$\log_{5}125=x$$
 $2$ $3$ $4$ $5$
•  Question 7: 2 pts Solve. $$\log_{6}1=x$$
$x=$
•  Question 8: 3 pts Simplify $3^{\log_{3}5}=x$
 $x=3$ $x=-3$ $x=15$ $x=5$
•  Question 9: 3 pts Simplify.$$3^{\log_{1.2}1.44}$$
•  Question 10: 3 pts Solve. $$\log_{8}x=\dfrac{2}{3}$$
 $x=2$ $x=3$ $x=4$ $x=8$
•  Question 11: 3 pts Simplify.$$\log_{\frac{3}{2}}\dfrac{27}{8}$$
 $2$ $3$ $4$ $8$