Download Expand each logarithmic expression completely

Algebra 2B
Exponentials and Logarithms Quiz Review
Name _______________________________
NO CALCULATOR
Rewrite in logarithmic form.
1) 3  81
2)
e5 = 20
3)
pt = v
Rewrite in exponential form.
4) log 2 32 = 5
4)
log1000 = 3
6)
ln a = w
4
Evaluate each expression.
7) log3 9 __________________
10)
log 2 32 __________________
 1
 _______________
 16 
13) log 4 
8) log5 (125) __________________
11)
9)
log10000 __________________
12) log 5
log7 0 ___________________
14) ln e ______________________
15)
1
__________________
5
log10 ____________________
CALCULATOR Allowed (but not REQUIRED)
Rewrite in exponential form. Then, solve for x.
16) log 2 x  5
17) 2 = log7 (x + 5)
19) log3 (2 x  3)  2
20)
log5 (6x - 8) = 2
18) log5 x  3
21)
5× log2 (x +10) = 20
CALCULATOR REQUIRED
Evaluate each expression. Round to the nearest hundredth.
22) log 5 100 __________________
24) log e 40 __________________
23) log12,800 _________________
Solve each equation for x. Round to the nearest hundredth.
25)
10 x = 80000
()
28) 5 2
x
= 40
31) 5(e)  50  152
x
26) e  40
27) 5  39
x
29) 5
2x
x
 4  200
32) (10)
3 x5
 9  20
30) 2(6)3 x  9  40
33) 3  2.5 
 r
Set up each word problem. Then, solve the equation. Use the formula A  P  1  
 n
x1
 120
nt
or A  Pe
rt
34) How much money should be invested in order to end up with $10,000 at the end of 10 years if it is invested at 4%
compounded quarterly?
35) How long does it take $2000 to triple if it is invested at 12% interest compounded monthly?