An algebra problem by Syed Hamza Khalid

Algebra Level 3

Solve for $x$ :

$\large \dfrac{16}{e^x} - e^x = 6$

Note: $e$ is the Euler's number

The answer is 0.69.

2 solutions

Syed Hamza Khalid
Jul 19, 2018

Jacopo Piccione
Jul 20, 2018

Let $e^x=y$ :

$\frac {16}{y}-y=6$

$y^2+6y-16=0$

$y=-8$ or $y=2$

Only possible $e^x=2 \Rightarrow x=ln2$