▪ Logarithmic and Exponential Functions

Ερωτήσεις Σωστό - Λάθος

1. a⁶ = a³a²

  True    False  

2. a⁶ = (a³)²

  True    False  

3. a² =  a²

  True    False  

4. a² = 1/a^1/2 

 True    False  

5. a² = 1/a²

  True    False  

6. (a+b)^1/2 = a^1/2 + b^1/2

  True    False  

7. f(x) = 2(3^x) is an exponential function.

  True    False  

8. g(x) = 2(4^2x) is an exponential function.

  True    False  

9. h(x) = 4(3^x1) is an exponential function.

  True    False  

10. r(x) = 10x^2.1 is an exponential function. 

 True    False  

11. log 6 = log 3 + log 3

  True    False  

12. log 6 = log 3 + log 2 

 True    False  

13. log 9 = (log 3)²

  True    False  

14. ln 3(1.05)²⁰ = 20 ln (3.15)

  True    False  

15. ln 3 = ln(3) 

 True    False  

16. If, due to inflation, prices are rising by 1% every month, they will rise exactly 12% during the year. 

 True    False  

17. If, due to inflation, prices are rising by 1% every month, they will rise by about 12.7% during the year. 

 True    False  

18. An investment earning 20% interest compounded twice a year is better than one earning 19.7% interest compounded continuously.

  True    False  

19. If a quantity is growing continuously with a fractional rate of growth k = 1/3 per year, then the quantity increases by more than one third each year.

  True    False  

20. Logistic growth is initially approximately the same as exponential growth with the same fractional rate of growth k.

  True    False