Question

2^x-2^x-2=192 ,the value of x is​

Answer 1

solution

$= > 2 {}^{x} - 2 {}^{x - 2} = 192 \\ = > 2 {}^{x} - \frac{2 {}^{x} }{2 {}^{2} } = 192 \\ = > 2 {}^{x} (1 - \frac{1}{4} ) = 192 \\ = > 2 {}^{x} = \frac{192 \times 4}{3} \\ = > 2 {}^{x} = 64 \times 4 \\ = > 2 {}^{x} = 2 {}^{8} \\ = > x = 8$