45=27*5*(10.716)^-0.25m

asked by guest
on Nov 17, 2024 at 5:36 pm



You asked:

Solve the equation \(45 = 27 \cdot 5 \cdot {10.716}^{-0.25} \cdot m\) for the variable \(m\).

MathBot Answer:

The solution is: \[m = \frac{\sqrt[4]{107160}}{30} \approx 0.60309666\]


\[\begin{aligned}45 &= m \frac{45 \cdot \sqrt[4]{250} \cdot 2679^{0.75}}{893}\\m \left(- \frac{45 \cdot \sqrt[4]{250} \cdot 2679^{0.75}}{893}\right) &= -45\\m &= \frac{\sqrt[4]{107160}}{30}\end{aligned}\]