0.125=0.408*e^-75x

asked by guest
on Oct 24, 2024 at 2:09 pm



You asked:

Investigate the equation: \(0.125 = 0.408 \cdot {e}^{-75} \cdot x\).

MathBot Answer:

The solution is: \[x = \frac{125 e^{75}}{408} \approx 1.1437629 \cdot 10^{32}\]

\[\begin{aligned}0.125 &= x \frac{51}{125 e^{75}}\\x \left(- \frac{51}{125 e^{75}}\right) &= 0.125\\x &= \frac{125 e^{75}}{408}\end{aligned}\]

\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).

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