How do logarithms and exponential functions relate?

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Homework Help Overview

The discussion revolves around understanding the relationship between exponential functions and natural logarithms, particularly in the context of solving equations involving logarithms. The original poster expresses concern about their daughter's struggles with these concepts in AS mathematics.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the need for clarity on logarithmic laws and their applications. There is mention of specific logarithmic properties, such as summation laws, which some participants feel are important to address.

Discussion Status

Several participants have provided links to external resources that explain logarithmic concepts and laws. There is an acknowledgment of the challenges faced by the original poster and their daughter, with suggestions for more specific questions to guide the discussion further.

Contextual Notes

The original poster indicates a desire to better understand logarithmic laws to assist their daughter, highlighting a personal context of feeling embarrassed about their current knowledge. There is an implication that the discussion may benefit from more targeted inquiries regarding specific logarithmic concepts.

acceler8
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hi, out daughter doing AS maths is unsure of exponentail functions and how they relate to natural logs. she finds it really hard to solve equations involving logs.

can you help explain the log laws to me so we understand and explain them to her. we hate the embarassed feeling of not knowing what to say.


xxxxx Wayne and Gareth
 
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(Unrelated response) Don't feel too embarassed, there is always a worse case than your own right? My dad couldn't help me with math past algebra I despite having a statistics major :) (thank goodness he is working in a field that doesn't require it or someone would be screwed)

Maybe a more specific question would help, but two laws I didn't see covered in the above link (hyperphysics is a great website by the way) were the summation laws: ln(a) + ln(b) = ln(a*b) or ln(a) + ln([tex]b^{-1}[/tex]) = ln(a/b)
 
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Here's another link that explains logarithms and the logarithmic rules.

http://oakroadsystems.com/math/loglaws.htm
 
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