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25-01-2022
Mathematics

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[tex]100^1^-^x=10^-^4^x[/tex]

tex1001x104xtex class=

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25-01-2022

Answer:

[tex] {100}^{1 - x} = {10}^{ - 4x} \\ {10}^{2(1 - x)} = {10}^{ - 4x} \\ {10}^{2 - 2x} = {10}^{ - 4x} \\ 2 - 2x = - 4x \\ 2 = - 4x + 2x \\ 2 = - 2x \\ x = - 1[/tex]

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