Question

4^x-4^x-1 = 24, then find the value of x.

Answer 1

${4}^{x} - {4}^{x - 1} = 24 \\ \\ {4}^{x} - \frac{ {4}^{x} }{4} = 24 \\ \\ {4}^{x} (1 - \frac{1}{4} ) = 24 \\ \\ {4}^{x} ( \frac{4 - 1}{4} ) = 24 \\ \\ {4}^{x} ( \frac{3}{4} ) = 24 \\ \\ {4}^{x} = 24 \times \frac{4}{3} \\ \\ {4}^{x} = 32 \\ \\ {4}^{x} = {2}^{5} \\ \\ {2}^{2x} = {2}^{5} \\ \\ bases \: \: are \: \: same \\ equating \: \: their \: \: powers \\ \\ 2x = 5 \\ \\ x = \frac{5}{2}$

Answer 2

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here is your answer in the pic...

Hope this is helpful to you
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