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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⁡a1\log_{a}1

    00

    11

    −1-1

    22

  • Question 2:
    1 pts
    		Evaluate. log⁡aa\log_{a}a

    00

    11

    −1-1

    22

  • Question 3:
    1 pts
    		Simplify. log⁡a(−17)\log_{a}(-17)
    00
    11
    −1-1
    none of these
  • Question 4:
    2 pts
    		Simplify. log⁡88\log_{8}8
    11
    22
    −1-1
    00
  • Question 5:
    2 pts
    		Solve. log⁡8x=1\log_{8}x=1

    11

    88

    1616

    6464

  • Question 6:
    2 pts
    		Solve. log⁡5125=x\log_{5}125=x
    22
    33
    44
    55
  • Question 7:
    2 pts
    		Solve. log⁡61=x\log_{6}1=x
    x=x=
  • Question 8:
    3 pts
    		Simplify 3log⁡35=x3^{\log_{3}5}=x
    x=3x=3
    x=−3x=-3
    x=15x=15
    x=5x=5
  • Question 9:
    3 pts
    		Simplify.3log⁡1.21.443^{\log_{1.2}1.44}
  • Question 10:
    3 pts
    		Solve. log⁡8x=23\log_{8}x=\dfrac{2}{3}

    x=2x=2

    x=3x=3

    x=4x=4

    x=8x=8

  • Question 11:
    3 pts
    		Simplify.log⁡32278\log_{\frac{3}{2}}\dfrac{27}{8}
    22
    33
    44
    88

Exponents

Logarithms