Question

4^x+3= 8^2-x Ayúdame por favor paso a paso compruebe

Answer 1

$\\ \pink{{\hspace{0 pt}\above 2.2pt}\boldsymbol{\mathsf{ {4}^{x + 3} = {8}^{2 - x} }}{\hspace{0pt}\above 2.2pt}}$

$\\ \pink{{\hspace{0 pt}\above 2.2pt}\boldsymbol{\mathsf{ {2}^{2x + 6} = {2}^{6 - 3x} }}{\hspace{0pt}\above 2.2pt}}$

$\\ \pink{{\hspace{0 pt}\above 2.2pt}\boldsymbol{\mathsf{2x + 6 = 6 - 3x}}{\hspace{0pt}\above 2.2pt}}$

$\\ \pink{{\hspace{0 pt}\above 2.2pt}\boldsymbol{\mathsf{2x = - 3x}}{\hspace{0pt}\above 2.2pt}}$

$\\ \pink{{\hspace{0 pt}\above 2.2pt}\boldsymbol{\mathsf{2x + 3x = 0}}{\hspace{0pt}\above 2.2pt}}$

$\\ \pink{{\hspace{0 pt}\above 2.2pt}\boldsymbol{\mathsf{5x = 0}}{\hspace{0pt}\above 2.2pt}}$

$\\ \pink{{\hspace{0 pt}\above 2.2pt}\boldsymbol{\mathsf{x = 0}}{\hspace{0pt}\above 2.2pt}}$

✓

Answer 2

${4}^{x + 3} = {8}^{2 - x} \\ 2x + 6 = 6 - 3x \\ 2x = - 3x \\ 2x + 3x = 0 \\ 5x = 0 \\ x = 0 \div 5 \\ \bf \: x = 0$