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Quiz on 'Logs'

Title: Quiz on 'Logs'

Question 1
Choices
Answer
1. log_a b
110^(log a)
2ln A / ln 10 ; Base 10 to Base e logs
3+Inf , if a < 1
4log A / log e ; Base e to Base 10 logs
5(1 / log_b a )
2. e^(i t)
1antilog(log a + log b)
20, forall a!=1
3-Inf , if a > 1
4cos t + i sin t = cis(t)
5a^(b^c) Right associative
3. log_a 0
1(1 / log_b a )
2-Inf , if a > 1
3a^(b+c)
4antilog(log a - log b)
5log(xy,a)
4. log 1/A
1a^(b+c)
2antilog(log a + log b)
3- log A
4ln A / ln 10 ; Base 10 to Base e logs
5cos t + i sin t = cis(t)
5. log_a a
1antilog((log a)/b)
2antilog(log a + log b)
3root_c a^b
41
5antilog(log a - log b)
Question 6
Choices
Answer
6. ln A
10, forall a!=1
2antilog(log a + log b)
3log_c A / log_c b
4log A / log e ; Base e to Base 10 logs
5cos t + i sin t = cis(t)
7. a
1a^(b-c)
210^(log a)
3a^(b^c) Right associative
4n log A
5antilog((log a)/b)
8. a*b
1a^(b^c) Right associative
2antilog((log a)/b)
3- log A
4antilog(log a + log b)
5log_c A / log_c b
9. a/b
1log(xy,a)
2- log A
31
4antilog(log a - log b)
5root_c a^b
10. 1/ ( 1/log(x,a) + 1/log(y,a)
1cos t + i sin t = cis(t)
2a^(b-c)
3log A / log e ; Base e to Base 10 logs
4log(xy,a)
5-Inf , if a > 1
Question 11
Choices
Answer
11. log A/B
1- log A
2(1 / log_b a )
3log_c A / log_c b
4-Inf , if a > 1
5log A - log B
12. log A
1a^(b+c)
2-1
3ln A / ln 10 ; Base 10 to Base e logs
4root_c a^b
5-Inf , if a > 1
13. log A^n
1antilog(((log a)b)
21
3n log A
410^(log a)
5- log A
14. a^b^c
1log_c A / log_c b
2log A - log B
3+Inf , if a < 1
4a^(b^c) Right associative
5root_c a^b
15. log AB
1log A - log B
20, forall a!=1
3log A + log B
4-Inf , if a > 1
5a^(b-c)
Question 16
Choices
Answer
16. a^(1/b)
110^(log a)
2antilog((log a)/b)
3log A / log e ; Base e to Base 10 logs
4+Inf , if a < 1
5log(xy,a)
17. a^(b/c)
1-1
2root_c a^b
3antilog(((log a)b)
41
5log A / log e ; Base e to Base 10 logs
18. a^(b)
1antilog(((log a)b)
2a^(b+c)
3-Inf , if a > 1
41
5- log A
19. a^b*a^c
1a^(b+c)
2antilog(log a + log b)
3-1
4ln A / ln 10 ; Base 10 to Base e logs
5log A / log e ; Base e to Base 10 logs
20. log_a 1
1cos t + i sin t = cis(t)
2antilog(log a + log b)
30, forall a!=1
4- log A
5+Inf , if a < 1