# derivative of log function [Solved!]

**phinah** 29 Aug 2017, 19:07

### 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

**Murray** 30 Aug 2017, 21:54

@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

**phinah** 01 Sep 2017, 13:24

Ok got it! Thank you for the explanation.

X

Ok got it! Thank you for the explanation.

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