Question 314902
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How you go about doing this depends on whether or not your calculator is capable of finding logs to bases other than 10 and *[tex \Large e]. (Or if you have the ability to use MS Excel which has an any-base log function built-in)


If you can take the base 2 log directly, then just pick some numbers and punch your calculator (or provide appropriate arguments to the Excel function).


If not, you have to use the base conversion formula:


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


For your problem, you can use either base 10 or natural logs, you get the same answer either way.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_2(x)\ =\ \frac{\ln(x)}{\ln(2)]


Just pick values for *[tex \Large x] according to the instructions in the problem and punch your calculator.


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