1. (4/5)^(2x + 6) = (4/5) ^ (-6)
2x + 6 = -6
x = -6
2. (7 ^ (x-1)) * (3 * 7² + 5) = 152
(7 ^ (x-1)) * 152 = 152
<span>7 ^ (x-1) = 1
</span><span>7 ^ (x-1) = 7 ^ 0
x -1 = 0
x = 1
3). 4 ^ x = t
2t</span>² - 17t + 8 = 0
D = 289 - 64 = 225
t = 8 или t = 1/2
4^x =8 4^x = 1/2
2 ^ (2x) = 2³ 2^(2x) = 2^(-1)
2x = 3 2x = -1
x=3/2 x = -1/2
Приводим к общему знаменателю и вычисляем.
2/3 + 5/8 = 16/24 + 15/24 = 31<span>/24
7</span>/12 - 3/8 = 14/24 - 9/24 = 5<span>/24
</span><span>11/16 - 5/8 = </span>11/16-10/16 = 1/<span>16
</span><span>5/35 + 3/10 = </span>10/70 + 21/70 = 31/<span>70
</span><span>8/15 - 4/9 = </span>24/45 - 20/45 = <span>4/45
</span><span>4/15 + 7/12 = </span>16/60 + 35/60 = <span>51/60
</span><span>11/48 - 5/36 = </span>33/144 - 20/144 = <span>13/144
</span><span>4/5 - 2/3 + 4/15 = </span>12/15 - 10/15 + 4/15 = <span>6/15
</span><span>7/8 + 11/12 - 5/6 = </span>21/24 + 22/24 - 20/24 = <span>23/24</span><span />
678491, 678492, 678493, 678494, 678495, 678496, 678497, 678498, 678499, 678500.
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