Question

definicao logaritmo 1/4. 2​

Answer 1

Resposta:

log

4

1

2

2

=x

(1/4)

x

=2

2

(1/2

2

)

x

=

2∗2

2

(2

−2

)

x

=

2

3

(2)

−2x

=2

2

3

Igualando os expoentes:

\begin{gathered}-2x = 3/2 \\ x=(3/2)/-2 \\ x= -3/4\end{gathered}

−2x=3/2

x=(3/2)/−2

x=−3/4

Resolvendo a segunda:

\begin{gathered}log _{ 2}0,25 = x \\ \\ 2^{x} = 0,25 \\ 2^{x} = 1/4 \\ 2^{x} = (1/ 2^{2}) \\ 2^{x} = 2^{-2} \end{gathered}

log

2

0,25=x

2

x

=0,25

2

x

=1/4

2

x

=(1/2

2

)

2

x

=2

−2