Answered: Could x^(ln 2) possibly be the same as…

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Calculus

Could x^(ln 2) possibly be the same as 2^(ln x) for some x> 0? Graph the two functions and explain what you see.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Could x^(ln 2) possibly be the same as 2^(ln x) for some x> 0? Graph the two functions and explain what you see.

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