Question

Solve this please .I will thank and rate you. Mark as brainliest.find its value​

Answer 1

Step-by-step explanation:

$\tt 8 × {2}^{n+2} = 32 \\ \\ \tt \longrightarrow {2}^{3} × {2}^{n+2} = {2}^{5} \\ \\ \tt \longrightarrow {2}^{3+n+2} = {2}^{5} \\ \\ \tt \longrightarrow {2}^{n+5} = {2}^{5} \\ \\ \tt \longrightarrow n + 5 = 5 \\ \\ \tt \longrightarrow \boxed{\bold{\underline{\red{\tt n = 0 }}}}$

Answer 2

Answer:

$\boxed{n = 0 }$  

Step-by-step explanation:

8 × $2^{n + 2}$ = 32                  

⇒$2^{3}$ × $2^{n + 2}$ = $2^{5}$                            ( 8 = 2×2×2 , 32 = 2×2×2×2×2 )

⇒ $2^{3 + n + 2} = 2^{5}$                              ( $a^{n}$ × $a^{m } = a^{m+n}$ )

⇒$2^{n + 5} = 2^{5}$                         .................. Cancelling Base

⇒n + 5 = 5

⇒n  = 5-5

⇒$\boxed{n = 0 }$  

Hence The answer is 0

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