Question

4^x-3•2^x+2=0 cum fac aici​

Answer 1

${4}^{x} - 3 \times {2}^{x} + 2 = 0$

${ {(2}^{x}) }^{2} - 3 \times {2}^{x} + 2 = 0$

${2}^{x} = t \: \: \: ,t > 0$

${t}^{2} - 3t + 2 = 0$

${t}^{2} - 2t - t + 2 = 0$

$t(t - 2) - (t - 2) = 0$

$(t - 2)(t - 1) = 0$

$t - 2 = 0 = > t_{1} = 2 = > {2}^{x} = 2 = > x_{1} = 1$

$t - 1 = 0 = > t_{2} = 1 = > {2}^{x} = 1 = > x_{2} = 0$