Question

Solve for x

Answer 1

\[3=8(1-e ^{-4.7x})\]

Answer 2

Take natural log of both sides and proceed.

Answer 3

Could you comment further?

Answer 4

wouldnt dividing both sides by 8 first be easier?

Answer 5

what about expanding it? Might be easier..

Answer 6

\[\frac{3}{8} = 1 - e^{-4.7x}\] \[\frac{3}{8} - \frac{8}{8} = -e^{-4.7x}\]

Answer 7

\[3= 8-8e^{-4.7x} => -8e^{4.7x} = -5\] then take \(ln\) both sides.

Answer 8

\[-\frac{5}{8} = -e^{-4.7x}\] \[\frac{5}{8} = e^{-4.7x}\] \[\ln \frac{5}{8} = -4.7x \ln e\]

Answer 9

u will get in the end
-4.7x= ln (5/8)

Answer 10

now solve for "x".

Answer 11

can you do the last step on your own now @Asylum15

Answer 12

Yeah, my confusion was over ln. So the ln of \[e ^{-4.7x}\] = -4.7xlne?

Answer 13

ya {ln e=1}

Answer 14

Yes, since \(lne\) is \(1\)

Answer 15

Ok!, thank you all! If you have any biological questions, I can help! haha

Answer 16

e^(-4.7x) became -4.7x ln e because of "reverse" power rule on logarithms it's supposed to be

e^(-4.7x)

ln e^(-4.7x)

-4.7 x ln e

Answer 17

Thank you :)