# Math Portfolio type I Logarithm Bases

Lukasz Weclas

Mathematics Standard Level

Portfolio Assignment Type II

Logarithm bases

Lukasz Weclas

December 2009

Introduction                                                                                 03

Write down the next two terms of each sequence                                        03

Find an expression for the nth term of each sequence and write in form                 04

Calculate the value of given logarithms                                                 06

Describe how to obtain the third answer in each row from the first two answers        08

Create two more examples that fit the pattern                                        08

Find the general statement that expresses logabx                                        09

Test the validity of your general statement using other values of a, b and x        10

Discuss the scope and limitations of a, b and x                                        11

Explain how you arrived at your general statement                                        11

Technology used                                                                        12

Bibliography                                                                                12

Introduction

Logarithm is defined as the exponent that indicates the power to which a base number is raised to produce a given number. In this assignment I shall attempt to investigate the characteristics of sequences of logarithms. As a conclusion, I will try to find the general statement and finally the range and limitations of a, b and x will be considered.

Write down the next two terms of each sequence

The given examples of logarithms are as follows:

It can be easily noticed that in each sequence every term has the same number of logarithms, ...