3e 60 = log (5x 11) 5 8 + + = log (3x 7) log (7x 21) - =

Honors Algebra II
Unit 6 – Logs & Exponentials
Name: _____________________________________
Date: ____________________
Solve the following equations (be sure to check your answers)
1. 3ex  60
2. log6(5x  11)  5  8
3. log5(3x  7)  log5(7x  21)
4. log3(x)  log3(x  6)  3
5. 8
x 1
 1
 
2
x
6. 3(2)2x
10
122
Honors Algebra II
Unit 6 – Logs & Exponentials
Expand or condense the following logs (simplify, where appropriate)
8. log5 9
3 b
7.
log 2
9.
log 2 w3 k 5 4 n
1
log5 k
2
a4 c 2
10. 3log5 3
2log5 a log5 b
Challenge: Solve the following equations


11. ln 9x2  1  0

2log5p

13. log 3 x2  4  log  2 x  2   log  x   log4
12. log2 y 3  12
2log5 c