Respuesta :

Answer:

A = 2, B = 8, and C = ⅓.

D= ¼, E = 2, and F = -2.

Step-by-step explanation:

The logarithmic expression, [tex]y = log_b x[/tex], is the same as the following exponential expression,  [tex]x = b^{y}[/tex].  

Given the following logarithmic expressions:

[tex]log_8 2 = \frac{1}{3}[/tex]   is equivalent to [tex]A^{B} = C[/tex], where:

A = 2, B = 8, and C = ⅓.

[tex]log_2 \frac{1}{4} = -2[/tex]   is equivalent to [tex]D^{E} =F[/tex], where:

D= ¼, E = 2, and F = -2.