Name ___________________________________________
Newman/Algebra II
10.2 Day 1 Worksheet
Write each equation in logarithmic form.
1) 83 = 512
2) 33 = 27
3) 5-3 =
2
1
4)    9
3
5) 100
-1/2
= 10
1
125
1
4
6) 2401  7
Write each equation in exponential form.
7) log5 125  3
10) log100
1
1

10
2
8) log13 169  2
11) log8 4 
2
3
9) log 4
1
 1
4
12) log 1 25  2
5
Evaluate each expression.
13) log 2 16
14) log12 144
16) log9 243
17) log 2
1
32
15) log16 4
18) log 3
1
81
Graph the following logarithmic functions.
19) y = 2 log x + 1
x-intercept
vertical asymptote
2 points
domain
range
20) y = -3 log (x - 1)
x-intercept
vertical asymptote
2 points
domain
21) y =
1
2
range
log (x – 3)
x-intercept
vertical asymptote
2 points
domain
range