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Let’s check out your problem:

80=100 ×((x)/(0,54))^(2,4986)

80=100×(x0,54)2,4986 80=100 \times\left(\frac{x}{0,54}\right)^{2,4986}

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Full solution

Q. 80=100×(x0,54)2,4986 80=100 \times\left(\frac{x}{0,54}\right)^{2,4986}
  1. Isolate x term: First, let's isolate the term with xx by dividing both sides of the equation by 100100.80100=(x0.54)2.4986\frac{80}{100} = \left(\frac{x}{0.54}\right)^{2.4986}0.8=(x0.54)2.49860.8 = \left(\frac{x}{0.54}\right)^{2.4986}
  2. Get rid of exponent: Now, we need to get rid of the exponent 2.49862.4986. We can do this by taking the 2.49862.4986th root of both sides.\newline(x0.54)=0.812.4986\left(\frac{x}{0.54}\right) = 0.8^{\frac{1}{2.4986}}
  3. Calculate right side: Let's calculate the right side using a calculator.\newline(x0.54)≈0.8(0.40032)(\frac{x}{0.54}) \approx 0.8^{(0.40032)}\newline(x0.54)≈0.917431(\frac{x}{0.54}) \approx 0.917431
  4. Multiply to solve for x: Now, multiply both sides by 0.540.54 to solve for xx.\newlinex≈0.917431×0.54x \approx 0.917431 \times 0.54\newlinex≈0.495513x \approx 0.495513

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