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1.51. Rozwiąż równania: a) 2^ x^ prime ( sqrt[3] 2 )^ 12 = 4^ 2x ( sqrt 2 )^ 2x^ 2 c) (0, 5) ^ (x ^ 3) * 4 ^ (x ^ 2 – x) = 1/(32 ^ x) b) d) (3 ^ (x ^ 3))/((root(4, 3)) ^ (4x + 4)) = (1/3) ^ x ((0, 5) ^ (x ^ 1))/((0, 125) ^ (x ^ 2)) = 1/(2 ^ (3x)) root(5, 4 ^ x * (0, 125) ^ (1/x)) = (4 * root(4, 2))/((sqrt(2)) ^ x) = 1/(x – 1) b) 2 ^ ((3x – 9)/(3x – 7)) * root(3, (0, 25) ^ ((3x – 1)/(2x – 2))) = 1 ((- 1) ^ 2 – 15)/((2 – 4) ^ 2 + 5) sqrt (0,25)^ 5- x 4 =2^ sqrt x+1 -4 (5/2) ^ (sqrt(3 – x) – 1) = (0, 4) ^ ((1 + sqrt(1 – x))/(sqrt(2x)) – 5) – 5

1.51. Rozwiąż równania: a) 2^ x^ prime ( sqrt[3] 2 )^ 12 = 4^ 2x ( sqrt 2 )^ 2x^ 2 c) (0, 5) ^ (x ^ 3) * 4 ^ (x ^ 2 – x) = 1/(32 ^ x) b) d) (3 ^ (x ^ 3))/((root(4, 3)) ^ (4x + 4)) = (1/3) ^ x ((0, 5) ^ (x ^ 1))/((0, 125) ^ (x ^ 2)) = 1/(2 ^ (3x)) root(5, 4 ^ x * (0, 125) ^ (1/x)) = (4 * root(4, 2))/((sqrt(2)) ^ x) = 1/(x – 1) b) 2 ^ ((3x – 9)/(3x – 7)) * root(3, (0, 25) ^ ((3x – 1)/(2x – 2))) = 1 ((- 1) ^ 2 – 15)/((2 – 4) ^ 2 + 5) sqrt (0,25)^ 5- x 4 =2^ sqrt x+1 -4 (5/2) ^ (sqrt(3 – x) – 1) = (0, 4) ^ ((1 + sqrt(1 – x))/(sqrt(2x)) – 5) – 5 

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