Question

2la putereax+2la putereax+1+2la putereax+4=19​

Answer 1

Răspuns: x = 0

Explicație pas cu pas:

$\bf{2 {}^{x} + 2 {}^{x + 1} + 2 {}^{x + 4} = 19}$

$\bf{(1 + 2 + 2 {}^{4} ) \times {2}^{x} = 19}$

$\bf{(1 + 2 + 16) \times {2}^{x} = 19}$

$\bf{19 \times {2}^{x} = 19 }$

$\bf{2 {}^{x} = 1 < = > {2}^{x} = {2}^{0} \Rightarrow \: \boxed{ \: \bf{x = 0}}\: }$