Then the left-hand size evaluates to something, it is a logarithm of a positive number (minus signs cancel); and the right-hand size is undefined—you take 'log' of negative numbers.

6 The issue of the Diffie-Hellman problem is the following: We know that if we can solve the Discrete Logarithm problem, then we can solve the Diffie-Hellman problem. Thus, the Diffie …

The comment given on your question is the quickest answer there is. $\log (5x^2)= \log (500) \implies x=10$ I dislike using a calculator or log table to get the answer. I think such things are …

As noted in the original question, Wikipedia claims that the ln notation was invented by Stringham in 1893. I have seen this claim in other places as well. However, I recently came across an …

$$\\log_{27}{8(\\log_x{3})} = 1 $$ Please provide any quick method to solve this kind of problems. The above is just an example. Any better and tough examples with explanation could also be

In lower level mathematics, I normally take algebra to mean the study of relationships between functions and equations, and arithmetic to mean the study of the operations, such as addition, …

In mathematics, $\log n$ is most often taken to be the natural logarithm. The notation $\ln (x)$ not seen frequently past multivariable calculus, since the logarithm base $10$ finds relatively little …

I'm in domain section of my textbook. It says that for logarithm functions, the base must be greater than one. I can understand why base shouldn't be one but what is problem with negative …

I would like to know how logarithms are calculated by computers. The GNU C library, for example, uses a call to the fyl2x() assembler instruction, which means that logarithms are calculated …

I was wondering if there was a way to cancel out a logarithm? For example: $\\log_a A$ > $\\log_a B$ What would a have to be for the log to go away and be left with A > B? Thanks in advance!