| 1) log abc
|
2) log ab²c³
|
3) log
|
4) log 
|
5) log
|
6) log 
|
7) log 
|
8) log 
|
MATH 121
LOG WORKSHEET (PROPERTIES OF LOGS)
I. Express the following in terms of log a, log b, log c.
| 1) log abc
|
2) log ab²c³
|
3) log
|
| 4) log
|
5) log
|
6) log
|
| 7) log
|
8) log
|
II. Simplify the following; write as a single log.
1) log a - 2 log b
2) 2 log a +
log b
3) log 60 - log 4
4) 5 log 2 + 2 log 5
5)
log 8 -
log 9 +
log 24
6) log (a + b) + log (a - b)
7) log p + 2 log r - log 2
8) log 1 + log 2 + ... + log (n - 1) + log n
9) log(x + 1) + log(x - 1) - log(x² - x + 1) + log(x³ + 1) - log(x² - 1)
10) c – logbbcz + 2 logbc – 3 logbbc
ANSWERS
|
I. 1) log a + log b + log c 2) log a + 2 log b + 3 log c 3) 2 log a + 5 log b - 4) 2 log a – 3 log b + 5) 3 log a - 6) 7) 8) |
II. 1) log 
2) log 3) log 15 4) log (32)(25) 5) log 4 6) log (a² - b²) 7) log 8) log n! or log (1× 2× 3× ... (n-1)n) 9) log (x+1) 10) log |
log c
log a + 
log c - 
or -log zb³c