Solve for c
c=x^{0.08}y
x\neq 0
Solve for x
\left\{\begin{matrix}\\x\neq 0\text{, }&\text{unconditionally}\\x=\left(\frac{c}{y}\right)^{12.5}\text{; }x=-\left(\frac{c}{y}\right)^{12.5}\text{, }&\left(y<0\text{ and }c<0\right)\text{ or }\left(y>0\text{ and }c>0\right)\end{matrix}\right.
Graph
Share
Copied to clipboard
\frac{c}{x^{0.08}}=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{x^{0.08}}c=y
The equation is in standard form.
\frac{\frac{1}{x^{0.08}}cx^{0.08}}{1}=\frac{yx^{0.08}}{1}
Divide both sides by x^{-0.08}.
c=\frac{yx^{0.08}}{1}
Dividing by x^{-0.08} undoes the multiplication by x^{-0.08}.
c=x^{0.08}y
Divide y by x^{-0.08}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}