Question

please do it with all method​

Answer 1

Answer:

Answer is in the attachment.

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Answer 2

$\huge\texttt\color{yellow}{answer}$

x = 7

Step by step explanation -

Create equivalent expressions in the equation that all have equal bases.

${2}^{x + 1} = {2}^{x - 3}$

Since the bases are the same, then 2 expressions are only equal if the exponents are also equal.

$x + 1 = 2(x - 3)$

$\sf{simplify \: 2(x - 3)}$

Rewrite -

$x + 1 = 0 + 0 + 2(x - 3)$

$x + 1 = 2(x - 3)$

$x + 1 = 2x + 2 \times - 3$

$x + 1 = 2x - 6$

Move all terms containing x to the left side of the equation

$x + 1 - 2x = - 6$

$- x + 1 = - 6$

Move all terms not containing x to the right side of the equation

$- x = - 6 - 1$

$- x = - 7$

$\sf{multiply \: each \: term \: in \: - x = - 7 \: by - 1}$

$( - x) \times - 1 = ( - 7) \times - 1$

$1x = ( - 7) \times - 1$

$x = ( - 7) \times - 1$

$x = 7$

$\huge\textbf{hope \: it \: helps \: you...}$