How to solve this equation:
4827/t +7log_10(t)-27=0
please help me
Hy. You can solve it by using the Lambert-W function by first writing it as:
$\displaystyle \frac{4827}{t}+7\log_{10} t=27$
$\displaystyle \frac{4827}{t}+\frac{7}{\ln(10)}\ln(t)=27$
or just look at:
$\displaystyle \frac{a}{t}+b\ln(t)=c$
Now, in order to get it into a form to use W, you need to put it in the form:
$\displaystyle k=f(t)e^{f(t)}$
then taking W I get:
$\displaystyle f(t)=W(k)$
So try and do some algebra to get:
$\displaystyle -\frac{a}{b}e^{-c/b}=-\frac{a}{bt}e^{-\frac{a}{bt}}$
then take W right?