Respostas

2013-12-09T11:57:39-02:00
a)  log_{16} 32 = x

 16^{x} = 32

 2^{4x} =  2^{5}

4x = 5
x =  \frac{5}{4}



b)  log_{9}  \frac{1}{3}= x

 9^{x} =  \frac{1}{3}

 3^{2x} =  3^{-1}

2x = -1
x = - \frac{1}{2}



c)  log_{4} 2 \sqrt{2} = x

 4^{x} = 2 \sqrt{2}

 2^{2x} =  2^{ \frac{3}{2} }

2x =  \frac{3}{2}

x = \frac{3}{2} : 2

x =  \frac{3}{4}



d)  log_{ \sqrt{5} } 625 = x

 5^{ \frac{x}{2} } = 625

 5^{ \frac{x}{2} } =  5^{4}

 \frac{x}{2} = 4

x = 8

Espero ter ajudado ((: