well, 2^-2 = 1/4, so
-3x = -2
-3x
2 = 1/4
(2 raised to the power -3x = 1/4)
2 answers
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
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