Marie posted a dance video online that received 25,000 views today. However, the popularity of her video has peaked; going forward, it will get 40% fewer views each day than the day before. Which equation can Marie use to find t, the number of days until her video is viewed only 5,400 times in a day?
Let N be the number of views Marie's video receives t days after she posted it.
We know that the number of views decreases by 40% each day, which means the number of views each day is 60% of the previous day's views.
Since 60% is the same as 0.6, we can say N = (0.6)^t * 25000.
If Marie wants to find the number of days until her video receives only 5400 views, she can set N equal to 5400 and solve for t: t = log(5400 / 25000) / log(0.6). Answer: \boxed{\frac{\log(5400 / 25000)}{\log(0.6)}}.