A Level

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Define k(x)=log⁡2(x−1)+log⁡2(5−2x)k(x)=\log_{2}(x-1)+\log_{2}(5-2x). (i) Express k(x)k(x) as a single logarithm of base 22. (ii) Find the domain of k(x)k(x). (iii) Within this domain, solve k(x)=0k(x)=0.

Related theory

Browse the problem library