Log Cumulative Review:
Write as a single logarithm.
1.
3  log3 ( x  1)  23 log 3 ( x  4) 
Expand the following.
2 x 2 y 2
2. log
3k 3
Find the value of each of the following. If necessary, round to the nearest thousandth.
1
3. log 5 25  log 5 125 
4. log 3 40
3
5. 2 log8 3
6. 3log3 4  log 2 64
Solve for x, check all answers. Round to the nearest thousandth, if necessary.
7. log 2 7 x  log 2 ( x 2  12)
8. log b ( x 2  2)  2 log b 6  log b 6 x
9. 2 
 7
2 x 4
3x
 65
 1 
1
11.     
 27 
3
x 3
12. 5e3 x  2
13. log x  log( x  21)  2
1
10. 3x  2  52 x
1
15. ( x  14) 4  (2 x) 2
4
14. 3(2 x  4) 3  48