Name __________________
Solving Simple Log Equations
Date _________
10H Per ______
Ex. 1: Write each exponential equation in log form.
a)
2 4  16
b) 10
3
 .001
c)
8
1
3
2
d)
6 2  36
Ex. 2: Write each log equation in exponential form
a) log 2 64  6
b)
log10 1000  3
1
2
c) log 4 32 
5
2
d) log 1 3  
c) log 81 x 
1
2
d) log 6 x  2
9
Ex. 3: Solve each equation for x
a)
log 2 x  4
b)
log 3 x  2
Ex. 4: Solve each equation for x:
a)
log 2 16  x
b)
log 3 27  x
c). log 5
1
x
25
d)
log100 .1  x
d)
log b .1  
Ex. 5: Solve each equation for “b”
a)
log b 27  3
b)
log b
1
 1
2
c)
log b 4 
1
2
1
2
Homework: For 1 – 3, evaluate each logarithmic expression.
1. log 6 216
 1 

 25 
2. log 5 
3. 3 log 4
For questions 4 – 9, solve each equation for the variable.
4. log 2 32  x
5. log b 27  3
7. log 25 c  2
8. log b 1000 
3
2
1
16
6. log 5 y  2
9. lnx = 2.2030
For 10 – 12, rewrite each exponential equation as a logarithm.
10. e 4  x
11. 3  4
1

81
1
12.  
 16 

1
2
4
For 13 – 15, rewrite each logarithmic equation as an exponential equation.
13. ln x  2
14. log 25 5  .5
15. log 1 2  
8
1
3