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Estudos Gerais11/27/2024

1- a) log2 2048= b) log3 729= c) log5 3125= d) log 10000= 2-...

1- a) log2 2048= b) log3 729= c) log5 3125= d) log 10000= 2- Usando a definição de logaritmo, defina: a) logx 25 = 2 b) log3 x = -3 3- Dadas as funções f e h definidas como f(x)= log2 x e h(x)= log3 x a) F(9)= b) H(1)= c) H(4)= d) F(1/3)= 4- Aplicando as propriedades dos logaritmos, simplifique: a) log2(64.9)= b) log√2(8.7)= c) log3(13.27)= d) log(1/4)(1/16)9= 5- Resolva as equações a seguir. a) logx 81=2 b) log4(x + 1)=3 c) log21(x + 2) + log21(x + 6)=1 d) log2(x - 2) - log2(2x - 7)=1 e) logx x + 2.log2 x - 1=0

Resposta

1- a) log2 2048= b) log3 729= c) log5 3125= d) log 10000= 2- Usando a definição de logaritmo, defina: a) logx 25 = 2 b) log3 x = -3 3- Dadas as funções f e h definidas como f(x)= log2 x e h(x)= log3 x a) F(9)= b) H(1)= c) H(4)= d) F(1/3)= 4- Aplicando as propriedades dos logaritmos, simplifique: a) log2(64.9)= b) log√2(8.7)= c) log3(13.27)= d) log(1/4)(1/16)9= 5- Resolva as equações a seguir. a) logx 81=2 b) log4(x + 1)=3 c) log21(x + 2) + log21(x + 6)=1 d) log2(x - 2) - log2(2x - 7)=1 e) logx x + 2.log2 x - 1=0
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