Question

4^x -4^x-1 =24 find x​

Answer 1

Answer:

${4}^{x} - {4}^{x - 1} = 24 \\ {4}^{x} - {4}^{x} \times {4}^{ - 1} = 24 \\ {4}^{x} (1 - {4}^{ - 1} ) = 24 \\ {4}^{x} (1 - \frac{1}{4} ) = 24 \\ {4}^{x} (4 - \frac{1}{4} ) = 24 \\ {4}^{x} \times \frac{3}{4} = 24 \\ {4}^{x} = 24 \times \frac{4}{3} \\ {4}^{x} = 32 \\ {2}^{2x} = {2}^{5} \\ when \: basis \: are \: same \: power \: are \\ \: equal \\ 2x = 5 \\ x = \frac{5}{2}$

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