Question

Resolva:
4^× = 3^x+1

Answer 1

${4}^{x} = {3}^{x + 1}$
$x = \frac{ log_{2}(3)x + log_{2}(3) }{2}$
Meios Pelos Extremos

$2x = log_{2}(3) x + log_{2}(3) \\ 2x - log_{2}(3 )x = log_{2}(3)$

Coloque x em evidencia


$(2 - log_{2}(3) )x = log_{2}(3)$

$divida \:ambos \: os \: membros \: por \: 2 - log_{2}(3)$


$x = \frac{ log_{2}(3) }{2 - log_{2}(3) }$