Question

Given that y=4e -x/500 find the value of x for which y=6

Answer 1

\[Y = 4e ^{-x/500} \] :|

Answer 2

\[6=4e^{-\frac{x}{500}}\]divide by 4
\[1.5=e^{-\frac{x}{500}}\]write in equivalent logarithmic form
\[-\frac{x}{500}=\ln(1.5)\]multiply by -500
\[x=-500\ln(1.5)\]

Answer 3

Plug y value in, then isolate e
Then take ln to solve for x!