the number of players of an online video game triples each week. the function f(x)=3^x represents the players in week x. when are there 81 players?
Setting 3^x = 81, we can solve for x:
3^x = 81
Take the logarithm of both sides:
log(3^x) = log(81)
x*log(3) = log(81)
x = log(81) / log(3)
x = 4
Therefore, there are 81 players in week 4.