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Indices and Logarithms Quiz

Indices and Logarithms Quiz

Test your knowledge on indices and logarithms, including concepts such as logarithmic functions, laws of logarithms, common logs, and natural logs. Explore how indices and logarithms are interconnected and understand the key rules governing each concept.

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Quiz12 Questions
Flashcards9 Cards
Study Notes1 Note
Podcast1 Episode

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Indices and Logarithms Quiz

Quiz • 12 Questions

Indices and Logarithms Quiz - Flashcards

Flashcards • 9 Cards

Study Notes

3 min • Summary

Indices and Logarithms Quiz - Podcast

Podcast

Materials

List of Questions12 questions
  1. Question 1
    • (0, \infty)
    • [0, \infty)
    • (-\infty, 0)
    • (-\infty, \infty)
  2. Question 2
    • 10
    • 8
    • 15
    • 13
  3. Question 3
    • 8
    • 32
    • 64
    • 16
  4. Question 4
    • $\ln(3) / \ln(9)$
    • $\log_2(9) / \log_2(3)$
    • $\log_e(9) / \log_e(3)$
    • $\ln(9) / \ln(3)$
  5. Question 5
    • $2^y$
    • $y^2$
    • $\sqrt{y}$
    • $\log_2(y)$
  6. Question 6
    • $c = d$
    • $c = d^2$
    • $c = -d$
    • $c = 1/d$
  7. Question 7
    • 10
    • -1
    • 1
    • 0
  8. Question 8
    • log_ba^2
    • 2log_ba
    • -2log_ba
    • -log_ba
  9. Question 9
    • e
    • ln 5
    • e^5
    • 5
  10. Question 10
    • `100^10=2`
    • `10^2=100`
    • `100^2=10`
    • `10^100=2`
  11. Question 11
    • `ln(x^n)=ln(n) + ln(x)`
    • `ln(x^n)=ln(n) * ln(x)`
    • `ln(x^n)=ln(x) ^ n`
    • `ln(x^n)=nln(x)`
  12. Question 12
    • `0`
    • `1`
    • `-1`
    • `b`
List of Flashcards9 flashcards
  1. Card 1
    HintThink of it as 'undoing' an exponent.Memory TipLogarithms find the missing exponent.
  2. Card 2
    HintIt involves a base and an argument.Memory TipLogarithmic functions show exponential relationships.
  3. Card 3
    HintMultiplication inside becomes addition outside.Memory TipProduct becomes plus.
  4. Card 4
    HintDivision turns into subtraction.Memory TipQuotient becomes minus.
  5. Card 5
    HintThe exponent becomes a multiplier.Memory TipPower goes in front.
  6. Card 6
    Hint`log_b(1) = 0` and `log_b(1/x) = -log_b(x)`.Memory TipLog of 1 is none, reciprocal is the opposite.
  7. Card 7
    HintThe base is 10.Memory TipInvisible base is always 10.
  8. Card 8
    HintDenoted as `ln(x)`.Memory TipThink 'e' for Euler when you see 'ln'.
  9. Card 9
    HintLogs don't like negative numbers!Memory TipMust be positive to log it.

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