Question 242305
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A couple of ways.  You can always open a blank Excel spreadsheet and type <b>=log(.25,6)</b> and then hit Enter.


Lacking a spreadsheet, you can either use a scientific calculator or a table of logarithms to either base 10 or <i>e</i> along with the base conversion formula:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_b(x)\ =\ \frac{\log_c(x)}{\log_c(b)}]


So:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_6\left(\frac{1}{4}\right)\ =\ \frac{\log\left(\frac{1}{4}\right)}{\log(6)}\ =\ \frac{\ln\left(\frac{1}{4}\right)}{\ln(6)}]


You can do your own calculator work.  By the way, the best you will ever be able to do is a numerical approximation.




John
*[tex \LARGE e^{i\pi} + 1 = 0]
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