Question

Me ajudem pfv equações exponenciais​

Answer 1

Resposta:

(a) x = 2

(b) x = -5

Explicação passo-a-passo:

(a)

$3^{3x-1}=243\\\\3^{3x-1}=3^{5}\\\\3x-1=5\\\\3x=5+1\\\\x=\frac{6}{3}\\ \\x=2$

(b)

$4^{x+1}=\frac{1}{256}\\ \\(2^{2} )^{x+1}= \frac{1}{2^{8} }\\ \\2^{2x+2}= 2^{-8}\\\\2x+2= -8\\\\2x=-8-2\\\\2x=-10\\\\x=-\frac{10}{2}\\ \\x=-5$