Properties of Log
m= log b  b m 
Express 5 in terms of log base 7.
5=log 7 (75 )
5=log 7 (16807)
Express 5 in terms of log base  .
5=log ( 5 )
5=log (306.0196848)
Express -4 in terms of log base e.
-4 = log e (e 4 )
-4 = log e (0.0183156389)
-4 = ln(0.0183156389)
Express -2.5 in terms of log base e.
-2.5 = log e (e 2.5 )
-2.5 = log e (0.0820849986)
-2.5 = ln(0.0820849986)
Practice Problems
1) Express 5 in terms of log base 3
2) Express 15 in terms of log base 2
3) Express 25 in terms of log base 3
4) Express -1 in terms of log base 8
5) Express -2 in terms of log base 4
6) Express -3 in terms of log base e
7) Express -4 in terms of log base 
8) Express 5 in terms of log base e
9) Express 3.5 in terms of log base e
10) Express -2.5 in terms of log base e
11) Express -3 in terms of log base 4
12) Express -2.5 in terms of log base 8
13) Express -1.8 in terms of log base 18
14) Express -4.5 in terms of log base 10
15) Express 3.5 in terms of log base 6
16) Express 15.8 in terms of log base 15
Note: e  2.718281828
Note: e  2.718281828
Note: e  2.718281828
Note: e  2.718281828