What is the answer to | p/(p-96)|=e^{((40ln(5/3)))/(40)} ?

The answer to | p/(p-96)|=e^{((40ln(5/3)))/(40)} is p=60,p=240

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| p/(p-96)|=e^{((40ln(5/3)))/(40)}

\frac{p}{p - 96} = e^{\frac{( 40 l n ( \frac{5}{3} ) )}{40}}

p = 60, p = 240

Solution steps

\frac{p}{p - 96} = e^{\frac{( 40 l n ( \frac{5}{3} ) )}{40}}

Simplify

\frac{p}{p - 96} : \frac{∣ p ∣}{∣ p - 96 ∣}

\frac{∣ p ∣}{∣ p - 96 ∣} = e^{\frac{( 40 l n ( \frac{5}{3} ) )}{40}}

Multiply both sides by

∣ p - 96 ∣

∣ p ∣ = \frac{5}{3} ∣ p - 96 ∣

Solve

∣ p ∣ = \frac{5}{3} ∣ p - 96 ∣ : p = 60 or p = 240

p = 60, p = 240

Verify Solutions

Find undefined (singularity) points:

p = 96

Combine undefined points with solutions:

p = 60, p = 240

4 x - 5 (x^{2} - 1) = x (2 - x) + 5

z^{2} = 9

8 x^{2} - 12 x

- 2 (5 + 6 x) < 6 (8 - 2 x)

x^{3} - 4 x^{2} y + 4 x y^{2}

What is the answer to | p/(p-96)|=e^{((40ln(5/3)))/(40)} ?
The answer to | p/(p-96)|=e^{((40ln(5/3)))/(40)} is p=60,p=240