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3.3 Exercises

From Förberedande kurs i matematik 1

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       Theory          Exercises      


Exercise 3.3:1

Solve the following equations for x.

a) 10x=1000 b) 10x=0.1
c) 110x=100 d) 110x=0.0001

Exercise 3.3:2

Calculate

a) lg0.1 b) lg10000 c) lg0.001 d) lg1
e) 10lg2 f) lg103 g) 10lg0.1 h) lg1102

Exercise 3.3:3

Calculate

a) log28 b) log931 c) log20.125
d) log39313  e) 2log24 f) log24+log2116
g) log312log34 h) logaa2a 

Exercise 3.3:4

Simplify

a) lg50lg5 b) lg23+lg123 c) lg2713+2lg3+lg91

Exercise 3.3:5

Simplify

a) lne3+lne2 b) ln8ln4ln2 c) (ln1)e2
d) lne1 e) ln1e2 f) elne2 

Exercise 3.3:6

Use the calculator on the right to calculate the following to three decimal places. The button LN signifies the natural logarithm with base e.

a) log34
b) lg46
c) \displaystyle \log_3{\log_2{(3^{118})}}