how does 4^(3n)=1/4
n = 0.2357022603955158 is the approximate answer.
do n = (sqr(1/4,4))/3 and that's the answer that pops up.
(To do sqr(1/4, 4) use y sqareroot x button)
how does 4^(3n)=1/4 take the log of both sides
3n=log(1/4) / log(4)
3n=-1 divide both sides by 3
n=-1/3, so that:
4^(3*-1/3)=
4^-1 =1/4