Question

Solve y= ax^s+c for x

Answer 1

Answer:

$\displaystyle x= \sqrt[s]{\frac{y-c}{a}}$

Step-by-step explanation:

$\displaystyle y= ax^s+c$

Subtract $c$ on both sides.

$\displaystyle y-c= ax^s+c-c$

$\displaystyle y-c= ax^s$

Divide $a$ on both sides.

$\displaystyle \frac{y-c}{a} = \frac{ax^s}{a}$

$\displaystyle \frac{y-c}{a} = x^s$

Take the root of $s$ on both sides.

$\displaystyle \sqrt[s]{\frac{y-c}{a}} =\sqrt[s]{x^s}$

$\displaystyle \sqrt[s]{\frac{y-c}{a}} =x$

Answer 2

Answer:

$x= \sqrt[s]{ \frac{y - c}{a} }$

Step-by-step explanation:

$y = a {x}^{s} + c \\ y - c = a {x}^{s} \\ \frac{y - c}{a} = \frac{a {x}^{s} }{a} \\ \frac{y - c}{a} = {x}^{s} \\ \sqrt[s]{ \frac{y - c}{a} } = \sqrt[s]{ {x}^{s} } \\ x= \sqrt[s]{ \frac{y - c}{a} }$

hope this helps you