Question

please answer it correctly and step by step​
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Answer 1

x = -3

Step-by-step explanation:

using,

${a}^{m} \times {a}^{n} = {a}^{n + m}$

${2}^{ - 5} \times {2}^{ - 3} = {2}^{3x + 1} \\ {2}^{ - 5 + ( - 3)} = {2}^{3x + 1} \\ {2}^{ - 8} = {2}^{3x + 1} \\ - 8 = 3x + 1 \\ - 8 - 1 = 3x \\ x = \frac{ - 9}{3} \\ x = - 3$

Answer 2

Answer:-

${2}^{ - 5} \times {2}^{ - 3} = {2}^{3x + 1}$

Bases are same.... we can equate the powers...!!

$( - 5) + ( - 3) = 3x + 1 \\ - 5 - 3 = 3x + 1 \\ - 8 = 3x + 1 \\ -3x = 1 + 8 \\ -3x = 9 \\ x = \frac{-9}{3} \\ x = -3$

u'r done!!

Thnx✌️♥️~