Question

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Please help me in the following Question

which is attached above !!


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LEGENDARY QUEEN ​

Answer 1

$heya \\ \\ \\ \\ 2 {}^{2(x - 1)} \times 2 {}^{ - 1(3 - 2x)} = 2 {}^{ - 3x} \\ becoz \: \: \: 0.5 = 1 \div 2 \: \: \: \: \: \: (1 \div 8) = 2 {}^{ - 3} \\ \\ \\ \\ 2 {}^{2x - 2 - 3 + 2x} = 2 {}^{ - 3x} \\ \\ becoz \: \: \: \: y {}^{n} \times y {}^{m} = y {}^{m + n} \\ \\ \\ \\ 2 {}^{4x - 5} = 2 {}^{ - 3x} \\ \\ now \: compare \: powers \: of \: 2 \\ \\ \\ 4x - 5 = - 3x \\ \\ \\ 7x = 5 \\ \\ \\ x = 5 \div 7$