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