Develop an elegant approach to the exponential and logarithm functions. Define a function G for x >

Question:

Develop an elegant approach to the exponential and logarithm functions. Define a function G for x > 0:

G(x) = S JI 1 - dt

This exercise proceeds as if we didn’t know that G(x) = ln x and shows directly that G has all the basic properties of the logarithm. Prove the following statements.

ab 1   4 + d^ = 5  /  dt (b) G(ab) = G(a) + G(b). Break up the integral from 1 to ab into two integrals and

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

Question Posted: