proszę o rozwiąznie nierówności wykładniczej
(1/2)^2x-1 - 1>>(1/4)^x
(1/2)^(2x-1) - 1>>(1/4)^x
(1/2)^2x * (1/2)^(-1) - 1 ≥ (1/4)^x
(1/4)^x * 2 - 1 ≥ (1/4)^x
2 * (1/4)^x - (1/4)^x ≥ 1
(1/4)^x ≥ 1
(1/4)^x ≥ (1/4)^0
x ≤ 0
odp. x ∈ (-oo, 0>
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(1/2)^(2x-1) - 1>>(1/4)^x
(1/2)^2x * (1/2)^(-1) - 1 ≥ (1/4)^x
(1/4)^x * 2 - 1 ≥ (1/4)^x
2 * (1/4)^x - (1/4)^x ≥ 1
(1/4)^x ≥ 1
(1/4)^x ≥ (1/4)^0
x ≤ 0
odp. x ∈ (-oo, 0>