ur question seems to be difficult to understand....
is it 3x^4 ?????
i think so....
if it is that then
3x^4 = x/4
3x^3 = 1/4
x^3 = 1/12
x = (1/12)^(1/3)
answer
or if it is 3*4 = 12 then
12 = 1/4 x
= > x = 48 answer
there is a bit of ambiguity in your question
im not too sure what 3x 4 is
perhaps you omitted a /
1/4 x is also ambiguous, as it can imply 1/(4x) or (1/4)x
but if the equation was 3x / 4 = (1/4)x
-cross multiply
=> 3x / 4 = x / 4
=> 3x*4 = 4x
=> 12x = 4x
=> 8x = 0
x = 0
or if the equation was (3x)4 = (1/4)x
=> 12x = x / 4
=> 48x = x
=> 47x = 0
x = 0
or if the equation was (3x)4 = 1/(4x)
=> 12x = 1(4x)
=> 48x^2 = 1
x = 1 / 48
x = + or - 1/ [sqrt(48)]
x = + or - 1 / [4sqrt (3)]
or if the equation was 3x / 4 = 1/(4x)
=> 12x^2 = 4
=> x^2 = 1 / 3
=> x = + or - 1/sqrt(3)
sorry i cant really help much because your equation is a bit ambiguous