Question

Me ajudem por favor pra hoje (preciso que justifique cada alternativa)

Answer 1

Resposta:

Explicação passo-a-passo:

A)  $2^{a}.2^{a+5} = 64\\2^{2a+5} = 2^{6}\\2a + 5 = 6\\2a = 1\\a = \frac{1}{2}$

B) $\frac{5^{3b} }{5^{b} } = 25\\5^{2b} = 5^{2}\\2b = 2\\b = 1$

C) $3.3^{c} = 9\\3^{1+c} = 3^{2}\\1 + c = 2\\c = 1$

D) $\sqrt{5^{a} } = 125\\5^{\frac{a}{2} } = 5^{3}\\\frac{a}{2} = 3\\a = 6$

D) $2^{2x + 1} = 8\\2^{2x + 1} = 2^{3}\\2x + 1 = 3\\2x = 2\\x = 1$

E) $9^{x - 8} = 81\\9^{x - 8} = 9^{2}\\x - 8 = 2\\x = 10$

F) $4^{x - 8} = 2^{x + 8} \\ (2^{2})^{x - 8} = 2^{x + 8}\\2^{2x - 16} = 2^{x + 8}\\2x - 16 = x + 8\\x = 24$