Nilai x yg memenuhi persamaan (4)^2x+3=(32)^x+2 adalah...
Matematika
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Nilai x yg memenuhi persamaan (4)^2x+3=(32)^x+2 adalah...
1 Jawaban
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1. Jawaban aridt1
[tex] {4}^{2x} + 3 = {32}^{x} + 2 \\ {2}^{4x} + 3 = {2}^{5x} + 2 \\ {2}^{4x} + 3 = 2. {2}^{4x} + 2 \\ misalkan \: {2}^{4x} = y \\ y + 3 = 2y + 2 \\ - 2y + y = 2 - 3 \\ - y = - 1 \\ y = 1 \\ y = 1 \\ {2}^{4x} = 1 \\ {2}^{4x} = {2}^{0} \\ \\ 4x = 0 \\4x = 0 \\ x = 0[/tex]