Solve for $x$:
$5x^{0.7}$ $=$ $y$
Asked
Active
Viewed 42 times
-1
-
Take logarithm on both sides, and then isolate the $x$ on one side, before exponentiating both sides. – Sarvesh Ravichandran Iyer Apr 21 '16 at 03:49
-
1$x^{0.7}=\frac y 5\implies x=(0.2y )^{10/7}$ – Claude Leibovici Apr 21 '16 at 03:51
1 Answers
0
$$5x^{0.7}=y$$
$$x^{0.7}=\frac{y}{5}$$
$$0.7\ln x=\ln\frac{y}{5}$$
$$\ln x=\frac{\ln\frac{y}{5}}{0.7}$$
$$x=e^\frac{\ln\frac{y}{5}}{0.7}$$
$$x=\left(\frac{y}{5}\right)^\frac{1}{0.7}$$
$$x=\left(\frac{y}{5}\right)^\frac{10}{7}$$
Itakura
- 588