-3x

2 = 1/4

(2 raised to the power -3x = 1/4)

2 answers

well, 2^-2 = 1/4, so
-3x = -2
2 ^ ( - 3 x ) = 1 / 2 ^ ( 3 x ) = 1 / 4 so:

2 ^ ( - 3 x ) = 1 / 4

1 / 2 ^ ( 3 x ) = 1 / 4

Take reciprocials of both sides:

2 ^ ( 3 x ) = 4

2 ^ ( 3 x ) = 2 ^ 2

Take the logarithm base 2 of both sides

3 x = 2 Divide both sides by 3

x = 2 / 3