Question 254207
<font face="Garamond" size="+2">


"Degree" has no meaning with respect to logarithms, at least that I know.  I'm also unsure what you mean by "power" in your expression of the problem.  Given the numbers, I have to presume you mean that the logarithm is to the <i><b>base</i></b> 4, like this:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log_4(64)\ =\ 3]


which, in plain text, should have been represented thus:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \ \ ]<b>log_4(64) = 3</b>


Now, to represent any logarithm in exponential form use the following definition  of the logarithm function:



*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y = \log_b(x) \ \ \Rightarrow\ \ b^y = x]


For your problem:  *[tex \Large y\ =\ 3], *[tex \Large b\ =\ 4], and *[tex \Large x\ =\ 64], so you can write:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3 = \log_4(64) \ \ \Rightarrow\ \ 4^3 = 64]


Which your scientific calculator will assure you is a true statement.


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