Question

(1) Does log2 0 exist ? Give reasons. (2) Prove (i) logb b = 1 (ii) logb 1 = 0 (iii) logx b^x = x .​

Answer 1

(Inverse Properties of Exponential and Log Functions) Let b > 0, b = 1. ... u > 0, w > 0. We now state the algebraic properties of exponential functions which will serve as a basis for the ... (Algebraic Properties of Logarithm Functions) Let g(x) = logb(x) be a ... 1. log2. (8 x. ) 2. log0.1(10x2). 3. ln. ( 3 ex. )2. 4. log 3. √. 100x2 yz5.