Quick Question differentiating logs

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Homework Help Overview

The discussion revolves around differentiating a logarithmic function, specifically f(x) = log base 1.5 (-0.76x + 305). Participants are exploring the application of differentiation rules in the context of logarithmic functions.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the differentiation of the logarithmic function, with one suggesting the use of the chain rule while another questions its necessity, proposing a simpler approach by treating log(1.5) as a constant.

Discussion Status

The conversation is ongoing, with participants providing insights and questioning the steps involved in differentiation. There is an exploration of different interpretations regarding the application of the chain rule and the treatment of constants in the differentiation process.

Contextual Notes

Some participants express uncertainty about the notation used in the differentiation process, specifically the inclusion of '/dx'. There is also a mention of the numerical value of log(1.5), which may influence the differentiation approach.

KV-1
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1. my function is: f(x)=log 1.5 (-.76x+305). f(x)= log base 1.5 of -.76x+305



3. How do i differentiate it? here is what i have so far: (1/((-.76x+305)ln1.5))*(-.76/dx)
 
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That's pretty close. (log base 1.5)(-.76x+305) is equal to log(-.76x+305)/log(1.5), right? I assume that's what you are starting from. Now just differentiate it using the chain rule. My only question is what is the '/dx' doing in there?
 
yes, but there seems to be truly no need for the chain rule, as log(1.5) is a number, equal to 0.176091

so it seems i just multiply the derivative of [log base 10 (-0.76x+305)] by that number!
 
((-0.76)(log(e)))/((-0.76x+305)(log(1.5))

thats the answer i think... in case anyone is curious
 

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