0.125=0.408*e^-75x
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 \(2.71828\).