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I am just a little confused with this log law of change base. Is there any one who can give me a clear description with an example?

Thanks

- Thread starter dilan
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- #1

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I am just a little confused with this log law of change base. Is there any one who can give me a clear description with an example?

Thanks

- #2

arildno

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Then, you evidently have:

[tex]c=a^{log_{a}(c)}=b^{log_{b}(c)[/tex]

Taking the logarithm with respect to a on both sides, you get:

[tex]\log_{a}(c)=\log_{b}(c)\log_{a}(b)[/tex]

that is:

[tex]log_{b}(c)=\frac{log_{a}(c)}{log_{a}(b)}[/tex]

Was that what you're after?

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