Question

Solve for x:
100/1+15e⁻⁰.⁴ˣ=20

Answer 1

The value of x in the expression is approximately -0.6

How to solve for x

The value of x in the expression is solved as follows

`\((100)/(1 + 15e^(-0.4x)) = 20`

`100 = 20(1 + 15e^(-0.4x))`

`100 = 20 + 300e^(-0.4x)`

`80 = 300e^(-0.4x)`

`e^(-0.4x) = (4)/(15)`

-0.4x = ㏑ (4/5)

0.4x = -0.2231

x = -0.5576

x = -0.6