I'm completely blanking on a simple exponent problem

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Solve for $x$:

$5x^{0.7}$ $=$ $y$

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$$5x^{0.7}=y$$

$$x^{0.7}=\frac{y}{5}$$

$$0.7\ln x=\ln\frac{y}{5}$$

$$\ln x=\frac{\ln\frac{y}{5}}{0.7}$$

$$x=e^\frac{\ln\frac{y}{5}}{0.7}$$

$$x=\left(\frac{y}{5}\right)^\frac{1}{0.7}$$

$$x=\left(\frac{y}{5}\right)^\frac{10}{7}$$