Answers: 1
![50e^{3x}=200\qquad|\text{divide both sides by 50}\\\\e^{3x}=4\qquad|\ln\ \text{both sides}\\\\\ln e^{3x}=\ln4\to3x=\ln4\qquad|\text{divide both sides by 3}\\\\\boxed{x=\dfrac{\ln4}{3}}\\\\x=\dfrac{1}{3}\ln4\\\\x=\ln4^\frac{1}{3}\\\\\boxed{x=\ln\sqrt[3]4}\\\\Used:\\\\\log_aa^n=n\\\\\log_ab^n=n\log_ab\\\\a^\frac{1}{n}=\sqrt[n]{a}](/tpl/images/0052/5961/7fc08.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 13:40, chinnellepug2149
In a certain pentagon, the interior angles are a, b,c, d,e where a, b,c, d,e are integers strictly less than 180. ("strictly less than 180" means they are "less than and not equal to" 180.) if the median of the interior angles is 61 and there is only one mode, then what are the degree measures of all five angles?
Answers: 1
Mathematics, 21.06.2019 20:00, andrwisawesome0
Aconstruction worker has rope 9 m long he needs to cut it in pieces that are each 3 /5 m long how many such pieces can he cut without having any rope leftover?
Answers: 3
Mathematics, 21.06.2019 21:30, francescanajar5
Your friend uses c=50p to find the total cost, c, for the people, p, entering a local amusement park is the cost of admission proportional to the amount of people entering the amusement park? explain.
Answers: 2
Mathematics, 21.06.2019 22:30, SKYBLUE1015
Select all of the following expressions that are equal to 2.5.
Answers: 3
Do you know the correct answer?
Solve the equation below for x 200=50e^3x...
Questions in other subjects:
Mathematics, 18.03.2021 03:00
Biology, 18.03.2021 03:00
Mathematics, 18.03.2021 03:00
Mathematics, 18.03.2021 03:00
