anonymous
  • anonymous
ln(5+4x)-ln(3+x)=ln3
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
myininaya
  • myininaya
ln(x)-ln(y)=ln(x/y)
myininaya
  • myininaya
Write ln[(5+4x)/{3+x)]=ln3
myininaya
  • myininaya
base e both sides to get rid of the natural logs

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

myininaya
  • myininaya
[(5+4x)/(3+x)]=3
myininaya
  • myininaya
Solve for x
myininaya
  • myininaya
5+4x=3(3+x) I multiply 3+x on both sides
myininaya
  • myininaya
5+4x=9+3x Distributive property
myininaya
  • myininaya
5+x=9 so x=9-5=4
myininaya
  • myininaya
Always check your solution when working with log. You never know the solution may not be in the domain
anonymous
  • anonymous
thank you for your help
myininaya
  • myininaya
In this case it is, because 5+4x and 3+x is positive for x=4
myininaya
  • myininaya
no problem
anonymous
  • anonymous
I have one more question. Is that ok?
myininaya
  • myininaya
Go ahead
anonymous
  • anonymous
r=p-k ln t, for t
myininaya
  • myininaya
So we want to solve for t. First get the ln(t) by itself
myininaya
  • myininaya
Subtract p on both sides: r-p=-klnt
myininaya
  • myininaya
Now divide -k on both sides: (r-p)/(-k)=lnt
myininaya
  • myininaya
Base e both sides to get ride of the natural log
myininaya
  • myininaya
e^[-(r-p)/k]=t

Looking for something else?

Not the answer you are looking for? Search for more explanations.