Introduction To Logarithms Worksheet printable pdf download

Introduction To Logarithms Worksheet

Introduction to Logarithms

Warm U p

A c ountry’s p opulation i s 3 m illion a nd i ncreases b y 5 % e very y ear. T hat s ame c ountry’s f ood s upply i s c apable

of f eeding 6 m illion a nd i ncreases b y 2 00,000 e very y ear.

Q1: W rite a f unction t hat m odels t he p opulation.

Q2: W rite a f unction t hat m odels t he f ood s upply.

Q3: W ill t he c ountry a lways p roduce e nough f ood t o f eed a ll o f i ts p opulation? E xplain.

Q4: F ind h ow m any y ears i t t akes f or t he p opulation t o b egin t o e xceed t he a mount o f f ood a vailable.

Introduction t o L ogarithmic F unctions

Definition a nd E valuation o f L ogarithm

Logarithmic f orm

Exponential form

= 10,000

4 = log

1 0,000

exponent

base

Let b b e a p ositive w here �� ≠ 1 .

The l ogarithm t o t he b ase b , d enoted l og

�� i s d efined

as f ollows l og

�� = �� i f a nd o nly i f ��

= ��

Example W riting i n L ogarithmic F orm

Change t he f ollowing f rom e xponential f orm t o l ogarithmic f orm

1a) 1 6 = 4

1b) 2 43 = 3

1c)

!.!

2a) 6

= ��

2b) ��

= 34

2c) 8

= ��

Introduction To Logarithms Worksheet