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0.5^(4x) = 8^(1-x)
(1/2)^(4x) = 8^(1-x)
2^(-1(4x)) = 2^(3(1-x))
2^(-4x) = 2^(3-3x)
-4x = 3-3x
-4x (+3x) = 3-3x (+3x)
-x = 3 ; x = -3
Check:
0.5^(4(-3)) = 8^(1-(-3))
(1/2)^(-12) = 8^(4)
2^(-1(-12)) = 8^4
2^12 = 8^4
2^(6 * 2) = 2^(3 (2 * 2))
2^(6 * 2) = 2^(6 * 2)
4096 = 4096
0.5^(4x) = 8^(1-x)
(1/2)^(4x) = 8^(1-x)
2^(-1(4x)) = 2^(3(1-x))
2^(-4x) = 2^(3-3x)
-4x = 3-3x
-4x (+3x) = 3-3x (+3x)
-x = 3 ; x = -3
Check:
0.5^(4(-3)) = 8^(1-(-3))
(1/2)^(-12) = 8^(4)
2^(-1(-12)) = 8^4
2^12 = 8^4
2^(6 * 2) = 2^(3 (2 * 2))
2^(6 * 2) = 2^(6 * 2)
4096 = 4096
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