# derivative of log function [Solved!]

### My question

In the chapter Derivative of the Logarithmic Function, Example #6, is it necessary to apply the change of base to get to the right solution?

### Relevant page

5. Derivative of the Logarithmic Function

### What I've done so far

Based upon the fact that

dy/dx  = 1/["argument" xx ln(base)]  xx [d/dx("argument")]

my solution was

dy/dx = 1/[6x ln 2] * (6) = 1/[x ln 2]

X

In the chapter Derivative of the Logarithmic Function, Example #6, is it necessary to apply the change of base to get to the right solution?
Relevant page

<a href="/differentiation-transcendental/5-derivative-logarithm.php">5. Derivative of the Logarithmic Function</a>

What I've done so far

Based upon the fact that

dy/dx  = 1/["argument" xx ln(base)]  xx [d/dx("argument")]

my solution was

dy/dx = 1/[6x ln 2] * (6) = 1/[x ln 2]

## Re: derivative of log function

@Phinah

Please use the math entry system so I, and others, can read your question. I have edited it just now.

I checked your answer by finding 1/(ln(2)) and it has the same value, 1.4427, so your approach appears to be fine!

Whenever I see a log expression with a base other than e, I automatically change base. This means I only need to learn one formula and can apply it in many places. In this case, I like the look of your approach better! :-)

X

@Phinah

Please use the math entry system so I, and others, can read your question. I have edited it just now.

I checked your answer by finding 1/(ln(2)) and it has the same value, 1.4427, so your approach appears to be fine!

Whenever I see a log expression with a base other than e, I automatically change base. This means I only need to learn one formula and can apply it in many places. In this case, I like the look of your approach better! :-)

## Re: derivative of log function

Ok got it! Thank you for the explanation.

X

Ok got it! Thank you for the explanation.