Question

Dacă 2^x+2^x+1+2^x+2=112 atunci x =......​

Answer 1

Explicație pas cu pas:

${2}^{x} + {2}^{x + 1} + {2}^{x + 2} = 112$

${2}^{x} \cdot (1 + 2 + {2}^{2}) = 112$

${2}^{x} \cdot 7 = 112 \iff {2}^{x} = 16$

${2}^{x} = {2}^{4} \implies x = 4$

Answer 2

$\bf \red{ \underline{x = 4}}$

Explicație pas cu pas:

$\bf 2^{x}+2^{x+1}+2^{x+2}=112$

$\bf \green{2^{x}} \cdot \Big( {2}^{x - x} +2^{x+1 - x}+2^{x+2 - x} \Big)=112$

$\bf \green{2^{x}} \cdot \Big( {2}^{0} +2^{1}+2^{2} \Big)=112$

$\bf \green{2^{x}} \cdot \Big( 1 +2+4 \Big)=112$

$\bf \green{2^{x}} \cdot 7=112 \: \: \: \: \: \: \: \bigg| : 7$

$\bf \green{2^{x}} = 16 \implies 2^{x} = {2}^{4}$

$\bf \red{ \underline{x = 4}}$

==pav38==

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