Question

2^2α - 2^α+3 + 2^4 = 0. Find the value of a.

Answer 1

Final Answer : a = 2 .

Steps:
1)
${2}^{2a} - {2}^{a + 3} + {2}^{4} = 0$
Let
${2}^{a} = t$
2) Then,

${t}^{2} - 8t + 16 = 0 \\ = > {(t - 4)}^{2} = 0 \\ = > t = 4 \\ = > {2}^{a} = 4 \\ = > a = 2$