10=80e^-0.5x
You asked:
Investigate the equation: \(10 = 80 \cdot {e}^{-0.5} \cdot x\).
MathBot Answer:
The solution is: \[x = \frac{e^{\frac{1}{2}}}{8} \approx 0.20609016\]
\[\begin{aligned}10 &= x \frac{80}{e^{0.5}}\\x \left(- \frac{80}{e^{0.5}}\right) &= -10\\x &= \frac{e^{0.5}}{8}\end{aligned}\]
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).