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.
We are asked to solve the following for t.
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.