Solve for x negative exponential I have the following equation:
$y = 14857x^{-1.092}$
I know $y = 43$, how do I rewrite this to solve for $x$. 
e.g. $43 = 14857x^{-1.092}$

you have $$43 = 14857x^{-1.092}$$
write it as $$x^{-1.092}=\frac{1}{x^{1.092}}=\frac{43}{14857}$$
You get $$x^{1.092}=\frac{14857}{43}$$
Divide for the power $1.092$: $$x=(\frac{14857}{43})^{\frac{1}{1.092}}=211.154$$
