Question

find x if (2÷5)^2x-1 = 125÷8

Answer 1

$(2 \div 5) {}^{2} \times 2x - 1 = 125 \div 8 \\ (4 \div 25) \times 2x - 1 = 125 \div 8 \\ 2x - 1 = (125 \div 8) \div (4 \div 25) \\ 2x - 1 = 125 \div 8 \times (25 \div 4) \\ 2x - 1 = 3125 \div 32 \\ 2x - 1 = 97.66 \\ 2x = 97.66 + 1 \\ 2x = 98.66 \\ x = 98.66 \div 2 \\ x = 49.33$

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