How do i find the answer to this:

exponential equation 2^(x-4)=3^(2x)

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

What is the value of x in the following equation. -x ^3/2 = -27

65% of students in your school participate in at least one after school activity. if there are 980 students in you school, how many do not participate in an after school activity?