Respostas

2013-01-14T22:49:23-02:00

1 - Log1/8 1024 = x

 

\frac{1}{8}^{x} =1024\\2^{-3x} = 2^{10}\\-3x=10\\x=\frac{-10}{3}

 

2 - Log7 2041 = x

7^{x}=2041\\7^{x}=7^{4}\\x=4

 

3- Log 1/25 625 = x

 

\frac{1}{25}^{x}=625\\5^{-2x}=5^{4}\\-2x=4\\x=-2

 

4- Log 25 3125 = 

 

25^{x}=3125\\5^{2x}=5^{5}\\2x=5\\x=\frac{5}{2}

 

5-  Log 1 = x (mesma coisa que Log10 1 = x) 

 

10^{x}=1\\10^{x}=10^{0}\\x=0

  • Usuário do Brainly
2013-01-15T11:08:40-02:00

a)

\text{log}~1024=\text{x}

\dfrac{1}{8}^{\text{x}}=1~024

Como \dfrac{1}{8}=2^{-3}~\wedge~1~024=2^{10}, segue que:

2^{-3\text{x}}=2^{10}

Donde, obtemos:

-3\text{x}=10

\text{x}=-\dfrac{10}{3}