Regardless of what value of #k# we choose, this will have a non-Real Complex value most of the time, but at least we can restrict the domain of #a^z# to get a well defined inverse. So #z = ln y / (ln (-a) + i pi (2k+1))# for some #k in ZZ# (a number of the form a +bi, where i 1) If youre familiar with complex numbers and feel comfortable working with them, then read on. It is possible to evaluate one, however, the answer will be a complex number. #ln y = ln a^z = z ln a = z (ln (-a) + i pi (2k+1))# If you are expected to find the log of a negative number, an answer of 'undefined' is sufficient in most cases. My question is: does this requirement apply universally or only to some numbers. loglog takes logs twice log 1: ln S(t,X) e p i Xi i1 × ln S0(t) 0 S(t,X) 1 ln(probability) negative value, so ln S(t,X) and ln S0(t) are. a > 0 is a general requirement, as far as I am aware. As far as I know, logarithms cannot be found for negative numbers: log ( a), a > 0. Subsequently, put an equal sign () and write LN. Steps: First, click on the cell where you want to put the natural logarithm result. If you want to calculate the natural logarithm of a positive integer number in Excel, go through the steps below. In the absence of any other information I would think the opposite of a negative log is a positive log. Calculate Natural Logarithm of a Positive Integer Number. Things get more complicated and Complex once we start dealing with fractional exponents. For real numbers, a logarithm finds the exponent that when put on the base gives the input, in this case a. Answer (1 of 3): This depends upon what one means by opposite. So in this sense we can say things like #log_(-2) -8 = 3# And after solving several problems, I noticed - all numbers that are put into the. So when people saw they were in the A-Level syllabus, many said 'I hate logs' immediately after looking at the list of log rules. Logs was always one of the less popular, less well-known topics at GCSE. The answer is basically yes, but it's not generally very useful.įirst let's look at logarithms with positive bases. I found myself asking this question after studying logarithms in school.
0 Comments
|
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |