MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms
Problem
(i) Define a logarithmic function with base a(a>0,a=1).
(i) Define a logarithmic function with base a(a>0,a=1).
(ii) For each of the following cases, describe how the value of loga(x) changes as x increases through positive real numbers:
(a) a>1
(b) 0<a<1
(iii) Without using a calculator, determine which number is larger—log47 or log49. Give full reasoning for your answer.