Question

Calcular os logaritmos usando a fórmula a^x=b
a) log16 1/256
b) log1/16 na raiz quadrada de 128
c) log9 27 raiz quadrada de 3

Answer 1

Resposta:

a) log16 1/256

16 =(1/256)^x

16=(1/2⁸)ˣ

2⁴==(2⁻⁸)ˣ

2⁴=2⁻⁸ˣ

4=-8x  

==>x=-1/2

b) log1/16  √128

√128 =(1/16)^x

2^(7/2) = 2^(-4x)

7/2 =-4x

x= -7/8

c) log9  √3

9=3^(x/2)

3²=3^(x/2)

2=x/2

x=4