Question

Can someone please HELP me solve this problem (e^t/3 /2^t/2)^6 -2^-3t e^4 =0

Answer 1

it could be simplify (if I read it correctly) as:
e^(2t)/2^(3t) -2^(-3t) *e^4=0
multiply both sides by 2^(3t), then:
e^(2t) - e^4=0
e^(2t) = e^4
which means that
2t=4
t=2