- #1

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I was just wondering whether this is acceptable:

f(x) = log (base 5) x.

f' '(x) = 1 / x * log (base 5) e.

Any responses are greatly appreciated!

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- Thread starter courtrigrad
- Start date

- #1

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- 1

I was just wondering whether this is acceptable:

f(x) = log (base 5) x.

f' '(x) = 1 / x * log (base 5) e.

Any responses are greatly appreciated!

- #2

Zurtex

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[tex]y= \log_a (x)[/tex]

[tex]a^y = x[/tex]

[tex]\ln (a) a^y \frac{dy}{dx} = 1[/tex]

[tex]\frac{dy}{dx} = \frac{1}{\ln (a) a^y}[/tex]

[tex]\frac{dy}{dx} = \frac{1}{\ln (a) a^{\log_a (x)}}[/tex]

[tex]\frac{dy}{dx} = \frac{1}{\ln (a) x}[/tex]

- #3

HallsofIvy

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[tex]\frac{1}{x log_5(e)}[/tex]

that's completely correct.

- #4

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log(base 5)x=ln(x)/ln(5)

d/dx(ln(x)/ln(5)=1/(ln(5)x)

If not, then I'll hit myself over the head with my Calc book.

EDIT: I guess somebody pretty much said the same thing before I did... sorry.

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