× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
y
2
s
2
a
1
w
1
w
1
i
1
m
1
s
1
c
1
k
1
1
m
1
Home Q & A Board Science-Related Homework Help Mathematics
New Topic  
lialeee lialeee
wrote...
Posts: 8
Rep: 0 0
11 years ago
Solve for t in the following equation, exactly if possible (don't calculate out an approximate value).

55e^0.571t = 28e^0.794t

I'd appreciate a step-by-step response.  Thanks.
Read 582 times
2 Replies

Related Topics

Replies
wrote...
#1
11 years ago
55 e^(0.571t) = 28 e^(0.794t)
55/28 = e^(0.794t) /  e^(0.571t)
55/28 = e^(0.794t - 0.571t)
55/28 = e^(0.224t)
ln(55/28) = (0.224t)
t = ln(55/28) / 0.224
wrote...
#2
11 years ago
Begin by taking the natural log of both sides:

ln(55e^.571t) = ln(28e^.794t)

Simplify and solve for t:

ln(55) + ln(e^.571t) = ln(28) + ln(e^.794t)
ln(55) + .571t = ln(28) + .794t
ln(55) - ln(28) = .223t
ln(55/28)/.223 = t
New Topic      
Quick Reply
Explore
Post your homework questions and get free online help from our incredible volunteers
  1114 People Browsing
 187 Signed Up Today
Start New Topic Take the Tour CoursesNew Study Tools Topics Trending Browse by Textbook
Live Chat
Related Images
  
 278
  
 452
  
 441
Your Opinion
Who will win the 2024 president election?
Votes: 10
Closes: November 4
Previous poll results: Which industry do you think artificial intelligence (AI) will impact the most?