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

Find m

asked by guest
on Nov 17, 2024 at 5:35 pm



You asked:

Solve the equation 45=27⋅5⋅10.716−0.25m45 = 27 \cdot 5 \cdot {10.716}^{-0.25} m for the unknown mm.

MathBot Answer:

The solution is: m=107160430≈0.60309666m = \frac{\sqrt[4]{107160}}{30} \approx 0.60309666

45=m45⋅2504⋅26790.75893m(−45⋅2504⋅26790.75893)=−45m=107160430\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}

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