Question

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

Answer 1

${4}^{x} - 4 {}^{x - 1} = 24 \\ {4}^{x} - ( \frac{ {4}^{x} }{4} ) = 24 \\ {4}^{x} (1 - \frac{1}{4} ) = 24 \\ {4}^{x} ( \frac{3}{4} ) = 24 \\ {4}^{x} = 32 \\ x = 2 + ( \frac{1}{2} ) \\ x = \frac{5}{2}$
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