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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.$$\log_{\frac{3}{2}}\dfrac{27}{8}$$
    $2$
    $3$
    $4$
    $8$

Exponents

Logarithms