Solution equation: LG (8 + 2 ^ x + 1) = 2x (1-lg5)

LG [8 + 2 ^ (x + 1)] = 2x (1-lg5) LG [8 + 2 ^ (x + 1)] = 2x (lg10-lg5) = 2xlg2 = LG [2 ^ (2x)] 8 + 2 ^ (x + 1) = 2 ^ (2x) 8 + (2 ^ x) * 2 = [(2 ^ x)] ^ 2 let a = 2 ^ x (a > 0) 8 + 2A = a ^ 2 A ^ 2 - 2A - 8 = 0 (A-4) (a + 2) = 0 a = 4 or a = - 2 (rounding off) so a = 2 ^ x = 4 x = 2 solution

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