avizcaino0003 avizcaino0003
  • 09-07-2022
  • Mathematics
contestada

Which point corresponds to the real zero of the graph of y = log2 (x + 2) - 1?

Respuesta :

edisonlara1212
edisonlara1212 edisonlara1212
  • 09-07-2022

Answer:

(0, 0)

Step-by-step explanation:

Ok so you have the equation: [tex]y = log_2{(x+2)}-1[/tex]. To find the zero you simply set the y equal to zero and then solve for x

[tex]0 = log_2{(x+2)}-1[/tex]

Add 1 to both sides

[tex]1 = log_2{x+2}[/tex]

Rewrite the equation in exponential form:

[tex]2^1=x+2[/tex]

Subtract 2 from both sides

[tex]0 = x[/tex]

So the zero of the function is at the origin (0, 0)

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