Respuesta :

Step-by-step explanation:

y = [tex]{\log_b x}[/tex]

if x =4 then y = [tex]{\log_b 4}[/tex] =-1 --> [tex]b^{-1}[/tex] =4 --> b= 1/4

tonb

Answer:

b = 1/4

Step-by-step explanation:

It has to be a log because for x=0, b⁰ should be 1 for every b and that is not the case here.

Remember that [tex]y = \log_bx[/tex] means that [tex]b^y=x[/tex].

Since the point (4,-1) seems to be on the line, we can solve:

b⁻¹ = 4

so b = 1/4

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