I intend to solve the following problem n*log(n)=c, where log is base 10.(adsbygoogle = window.adsbygoogle || []).push({});

n*log(n)=c, expressing this as n=10^(c/n), then this becomes n^n=10^c.

Now this can be solved using a numerical method such as Lambert W function.

The Lambert W function solves the problem x*e^(x)=c, where c is a constant, we can use

this to solve our problem. ln(x)*e^(ln(x))= ln(c).

Lets say I want find n*log(n)=100, then using this method I find n=56.9612. Which is

correct, but what happens as c approaches a very large value such as 10*10^9? Is there

no solution for this? This is an assignment but I am getting infinity as a solution since c

is too large, any ideas?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Using Lambert W to solve n*log(n) = c

Loading...

Similar Threads - Using Lambert solve | Date |
---|---|

I Which x_0 to use in a Taylor series expansion? | Feb 19, 2018 |

I Find the height up a ladder where a dropped bottle will break, using only two bottles | Feb 6, 2018 |

B Using trig to find distance? | Jan 18, 2018 |

Using reference angles to evaluate trig function | Jan 12, 2018 |

Lambert W function with rational polynomial | Jul 9, 2014 |

**Physics Forums - The Fusion of Science and Community**