# How to solve all of the practice problems

*label*Mathematics

*timer*Asked: Dec 10th, 2017

*account_balance_wallet*$25

**Question description**

I have a final on Wed & this class online but this a print of the practice I don’t know how to do it I’ve been doing the textbook practices but i’m a visual learner so I need someone to solve these and show me the work please I don’t have time to go back to tutoring on campu

## Tutor Answer

HiPlease check the attached file for details, let me know if you have any questions, thank you. James,

1.

40)0.996(x=4000

0.996x= 100

Taking log on both sides

xlog0.996 = 2

x = 2/log0.996

=1148.99

2.

1500+e0.04x = 4500

e0.04x =4500-1500 = 3000

Taking ln on both sides

0.04x = ln3000

x= 25ln3000

x=200.16

3.

106x-1 = 674

Take log on both sides

6x-1 = log674 = 2.82866

x = 3.82866/6

=0.6381

4. f(x) = 2x+3, g(x) = x-3/2

f(g(x)) = 2g(x)+3 = 2*(x-3/2) +3 = 2x-3 +3 = 2xx, thus f and g are not inverse functions.

5.

3x 4

] ln( 3x 4) ln( x 4) 2 ln( x 6) 3

2

3

( x 4) ( x 6)

ln( 3x 4) ...

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