# MATH176 Logarithmic and Exponential Function

*label*Mathematics

*timer*Asked: Feb 1st, 2019

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### Question Description

Complete discussion board questions for pre-calculus. I have attached the questions below.

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1. What is a natural logarithm? How is it different from and similar to regular logarithms? Provide examples for how natural logarithms appear in nature or in natural science.

2. What are two applications of logarithmic and exponential functions in science?

3. What is the relationship between exponential and logarithmic functions? Include examples.

**Tags:**math calculus Pre calculus Logarithmic Functions exponential function natural logarithm MATH176

## Tutor Answer

kindly find the attached document. In case of any question feel free to ask.Thank you

Running Head: LOGARITHMIC AND EXPONENTIAL FUNCTIONS

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Logarithmic and Exponential Function

Name

Institution

Date

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LOGARITHMIC AND EXPONENTIAL FUNCTIONS

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DS 1- Natural and Regular Logarithms

The natural logarithm is any logarithm whose base is a unique number e (Euler’s

number) that represents a fixed irrational number approximated as 2.718281828459.

Natural and regular logarithms are similar in that, they exhibit the same logarithmic

properties. The only difference is the base used (Kuhlmann & Tressl, 2012). Where

natural logarithm uses base e, regular logarithm uses base 10. An example of how natural

logarithm appears in natural science is the decay equation of the radioactive material.

The decay equation is a shown below:

I = Io e−rt

where: I is the amount of radio active material after the decay

Io is the intial amount of the radio active material

r is the rate of decay and t is the time taken.

The two application of log...

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