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Find x please don't forget to give complete solution ​

Answer»

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❥︎ {4}^{x}-{4}^{x-1} = 24

❥︎ {4}^{x}-{4}^{x} \times {4}^{-1} = 24

TAKING {4}^{x} COMMON .

❥︎ {4}^{x}[1-{4}^{-1}]=24

❥︎ {4}^{x}[1-\frac{1}{4}]=24

❥︎ {4}^{x}[\frac{3}{4}]=24

❥︎ {4}^{x}=24 \times \frac{4}{3} = 32

❥︎ {2}^{2x}={2}^{5}

❥︎ 2x = 5

❥︎ x = \frac{5}{2}



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