Homework Help

Solve for t. 500 = 10e^(.04t) (Instead of a log on each side, do an ln on each side.)...

user profile pic

kristenmarieb... | Student, Grade 10 | Valedictorian

Posted August 21, 2013 at 10:45 PM via web

dislike 1 like

Solve for t.

500 = 10e^(.04t)

(Instead of a log on each side, do an ln on each side.)

Give your answer correct to four decimals. 

1 Answer | Add Yours

user profile pic

ncchemist | eNotes Employee

Posted August 21, 2013 at 11:07 PM (Answer #1)

dislike 1 like

We are asked to solve the following for t.

500=10e^(0.04t)

First, divide each side by 10.

500=10e^(0.04t)  -->  50=e^(0.04t)

Now take the natural logarithm (ln) of each side.  We use the ln function instead of the log function due to the presence of the e.

ln50=lne^(0.04t)  -->  3.9120=0.04t

We have gotten rid of the exponent, now we can solve for t by dividing both sides by 0.04.

3.9120=0.04t  -->  97.8006=t

So the value of t to four decimal places is 97.8006.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes