Question

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Answer 1

Step-by-step explanation:

${2}^{n - 5} \times {2}^{n - 4} = {2}^{4} \\ {2}^{(n - 5) + (n - 4)} = {2}^{4} \\ {2}^{n - 5 + n - 4} = {2}^{4} \\ {2}^{2n - 9} = {2}^{4} \\ 2n - 9 = 4 \\ 2n = 4 + 9 \\ 2n = 13 \\ n = \frac{13}{2}$

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Answer 2

$2^{n-5}$ x $2^{n-4}$ = $2^{4}$

(Since, the bases are same, powers will be the same.)

Therefore,

⇒ (n-5) + (n-4) = 4

⇒ 2n - 9 = 4

⇒ 2n = 4+9

⇒ 2n = 13

⇒ n = $\frac{13}{2}$

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