Processing Math: Done
3.3 Exercises
From Förberedande kurs i matematik 1
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| Line 15: | Line 15: | ||
|width="50%" | <math>10^x=1\,000</math> | |width="50%" | <math>10^x=1\,000</math> | ||
|b) | |b) | ||
| - | |width="50%" | <math>10^x=0{ | + | |width="50%" | <math>10^x=0\textrm{.}1</math> |
|- | |- | ||
|c) | |c) | ||
|width="50%" | <math>\displaystyle \frac{1}{10^x}=100</math> | |width="50%" | <math>\displaystyle \frac{1}{10^x}=100</math> | ||
|d) | |d) | ||
| - | |width="50%" | <math>\displaystyle \frac{1}{10^x}=0{ | + | |width="50%" | <math>\displaystyle \frac{1}{10^x}=0\textrm{.}000\,1</math> |
|} | |} | ||
</div>{{#NAVCONTENT:Answer|Svar 3.3:1|Solution a|Lösning 3.3:1a|Solution b|Lösning 3.3:1b|Solution c|Lösning 3.3:1c|Solution d|Lösning 3.3:1d}} | </div>{{#NAVCONTENT:Answer|Svar 3.3:1|Solution a|Lösning 3.3:1a|Solution b|Lösning 3.3:1b|Solution c|Lösning 3.3:1c|Solution d|Lösning 3.3:1d}} | ||
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{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) | ||
| - | |width="25%" | <math>\lg{ 0{ | + | |width="25%" | <math>\lg{ 0\textrm{.}1}</math> |
|b) | |b) | ||
|width="25%" | <math>\lg{ 10\,000}</math> | |width="25%" | <math>\lg{ 10\,000}</math> | ||
|c) | |c) | ||
| - | |width="25%" | <math>\lg {0{ | + | |width="25%" | <math>\lg {0\textrm{.}001}</math> |
|d) | |d) | ||
|width="25%" | <math>\lg {1}</math> | |width="25%" | <math>\lg {1}</math> | ||
| Line 42: | Line 42: | ||
|width="25%" | <math>\lg{10^3}</math> | |width="25%" | <math>\lg{10^3}</math> | ||
|g) | |g) | ||
| - | |width="25%" | <math>10^{-\lg{0{ | + | |width="25%" | <math>10^{-\lg{0\textrm{.}1}}</math> |
|h) | |h) | ||
|width="25%" | <math>\lg{\displaystyle \frac{1}{10^2}}</math> | |width="25%" | <math>\lg{\displaystyle \frac{1}{10^2}}</math> | ||
| Line 57: | Line 57: | ||
|width="33%" | <math>\log_9{\displaystyle \frac{1}{3}}</math> | |width="33%" | <math>\log_9{\displaystyle \frac{1}{3}}</math> | ||
|c) | |c) | ||
| - | |width="33%" | <math>\log_2{0{ | + | |width="33%" | <math>\log_2{0\textrm{.}125}</math> |
|- | |- | ||
|d) | |d) | ||
Revision as of 11:57, 19 August 2008
| Theory | Exercises |
Exercise 3.3:1
What is
| a) | | b) | |
| c) | | d) | |
Answer | Solution a | Solution b | Solution c | Solution d
Loading...Exercise 3.3:2
Calculate
| a) | | b) | | c) | | d) | |
| e) | | f) | | g) | | h) | |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f | Solution g | Solution h
Exercise 3.3:3
Calculate
| a) | | b) | | c) | |
| d) |  9 31 3 | e) | | f) | |
| g) | | h) |  a2 a |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f | Solution g | Solution h
Exercise 3.3:4
Simplify
| a) | | b) | | c) | 3+2lg3+lg91 |
Answer | Solution a | Solution b | Solution c
Exercise 3.3:5
Simplify
| a) | | b) | | c) | e2 |
| d) | | e) | | f) | elne2 |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f
Exercise 3.3:6
|
Use the calculator on the right to calculate the following to three decimal places. (The button LN signifies the natural logarithm with base e):
|
Answer | Solution a | Solution b | Solution c
