Tagged Questions
3
votes
1answer
96 views
Understanding accuracy of Newton's Method
In a numerical analysis book I'm reading it says that using the Newton error formula we can find an expression for the number of correct digits in an approximation using Newton's Method.
Here's the ...
3
votes
4answers
347 views
How do I cube/square a logarithm?
Btw, please don't give me the answer. I just wanna know how to raise a logarithm to its cube cause I'm stuck in this part, but don't solve it for me.
$$\log \sqrt[3]x = \sqrt[3]{\log x}$$
I tried ...
3
votes
1answer
145 views
How to find the roots of $f(x)= \ln( \frac{x+1 }{x-2})$?
I can't solve this equation:
$$\ln\left(\frac{x+1}{x-2}\right) = 0.$$
I do:
$$\begin{align*}
\ln \left( \frac{x+1}{x-2} \right)&=0\\
\frac{x+1}{x-2} &= 1 \\
x+1&=x-2 \\
...
6
votes
1answer
119 views
Complex Logs and Roots of Unity
I need to find all the solutions to the following using logarithms:
$(e^z-1)^3=1$ where z is a complex number.
I am told that using roots of unity I can break this equation down but I must be missing ...
