Question

-150=290.8-190e^(-.75x)

Can any one help me solve this equation please?

@precal

Answer 1

Are we to solve for x?

Subtract 290.8
Divide by -190
Introduce Logarithms.
What else?

Answer 2

Ok .. I got it down to

2.32=e^(-.75x)

I am not for sure what to do next.

@tkhunny

Answer 3

\[-150=290.8-190e ^{-0.75x}\]
\[190e ^{-0.75x}=290.8+150=440.8\]
\[e ^{-0.75x}=\frac{440.8}{190}\]
Taking natural logs of both sides gives:
\[-0.75x=\ln \frac{440.8}{190}=0.841567185\]
\[x=\frac{0.841567185}{-0.75}=-1.122\]