Section 5.4

Logarithmic Functions

OBJECTIVE 1

8 2(a) 5 (b) 12 (c) 10xt x e

2 2(a) log 21 (b) log 12 6 (c) log 10zy a

OBJECTIVE 2

3 2

1log 81 log

8a b

OBJECTIVE 3

3 2

22 1

2

3log 2 log

1

log 1 log

xa f x x b F x

x

c h x x d g x x

OBJECTIVE 4

Natural Logarithm Function

3ln 1f x x

2log 2f x x

OBJECTIVE 5

2Solve: log 2 1 3 log 343 3xa x b

3Solve: 2 6xe