Quiz Review
Properties of Logarithms
Name: ________________________
Expand the expression.
5x
1. log 2
2
4. log 7
2.
1
2
x y
3

x  1
ln
3. log 3 yz x
4
25 x 2 y
5. log 5
3z
6. log 4
10. 2 log x  log 8
11.
2z
3y
Condense the expression.
9. log 7  log b  log 2
12. 4 log 3 x  2 log 3 8
13.
2
log 4 x  3 log 4 y
3
1
log x  log 4
2
14. log 2 ( x  1)  log 2 ( x  3)  3 log 2 ( x  5)
Use log 4 = 0.602 and log 7 = 0.845 to evaluate the logarithm.
15. log28
16. log
7
4
17. log 49
18. log
Solving Exponential and Logarithmic Equations Quiz Review
19.
20.
23.
24.
22. 5x2  6x7
25.
1
4
26.
27.
28.
29.
30.
REMEMBER
A  P 1  r 
t
 r
A  P 1  
 n
nt
A  P 1  r 
t
A  Pert
31. Sarita deposits $1000 in an account paying 3.4% interest. How long must she keep her money in the
account for it to double if it is compounded quarterly? (SOLVE ALGEBRAICALLY NOT GRAPHICALLY)
32. Joel deposits $500 in an account paying 2.7% interest compounded continuously. How long should he
keep his money in the account if he needs $1200 to by a new TV?