Respostas

2014-01-17T19:01:55-02:00
A)
 log_{\frac{2}{3}} \frac{8}{27} = x \\ (\frac{2}{3})^x= \frac{8}{27}\\(\frac{2}{3})^x= (\frac{2}{3})^3\\ x=3

b)
log_{x} \frac{1}{16}= 2\\ x^2= \frac{1}{16} \\ x^2=  \sqrt{ \frac{1}{16}}  \\ x= \frac{1}{4}

c) 
log_{2} x= 5\\ 2^5= x \\ 32=x \\ x=32

d) log_{9} 27=x \\ 9^x=27 \\ (3^x)^2= 3^3 \\ 3^{2x}= 3^3 \\ 2x=3 \\ x= \frac{3}{2}
5 4 5
c) x²=1/16 :: x=V1/16 :: x=1/4, as demais estão corretas.