Tìm x , biết: (a) 1/ 4 x − 1 /3 = − 5/ 9 ;
Giải thích
a) \(\frac{1}{4}x - \frac{1}{3} = - \frac{5}{9}\)
\(\frac{1}{4}x = - \frac{5}{9} + \frac{1}{3}\)
\(\frac{1}{4}x = - \frac{2}{9}\)
\(x = - \frac{2}{9}:\frac{1}{4}\)
\(x = \frac{{ - 8}}{9}\).
Vậy \(x = \frac{{ - 8}}{9}\).
b) \({2^{x + 3}} - {3.2^x} = 320\)
\[{2^x}\,\,.\,\,\left( {{2^3} - 3} \right) = 320\]
\[{2^x}\,\,.\,\,\left( {8 - 3} \right) = 320\]
\[{2^x}\,\,.\,\,5 = 320\]
\[{2^x} = 64\]
\({2^x} = {2^4}\)
\(x = 4\).
Vậy \(x = 4\).