1. 4.2 Logarithmic Functions
Day 3
Romans 5:2-5 Through him we have also obtained access by
faith into this grace in which we stand, and we rejoice in hope
of the glory of God. More than that, we rejoice in our
sufferings, knowing that suffering produces endurance, and
endurance produces character, and character produces hope,
and hope does not put us to shame, because God’s love has
been poured into our hearts through the Holy Spirit who has
been given to us.
35. Properties of Natural Logs
1) ln 1 = 0
because e = 1
0
2) ln e = 1
because e = e
1
x
3) ln e = x
36. Properties of Natural Logs
1) ln 1 = 0
because e = 1
0
2) ln e = 1
because e = e
1
x
3) ln e = x
because e = e (and we have a
x x
composite of inverse functions)
37. Properties of Natural Logs
1) ln 1 = 0
because e = 1
0
2) ln e = 1
because e = e
1
x
3) ln e = x
because e = e (and we have a
x x
composite of inverse functions)
ln x
4) e =x
38. Properties of Natural Logs
1) ln 1 = 0
because e = 1
0
2) ln e = 1
because e = e
1
x
3) ln e = x
because e = e (and we have a
x x
composite of inverse functions)
ln x
4) e =x
composite of inverse functions again
39. HW #5
There are no secrets to success. It is the result of
preparation, hard work, and learning from failure.
Colin Powell
