peaceandlove1
peaceandlove1 peaceandlove1
  • 27-02-2021
  • Mathematics
contestada

Evaluate ㏒ b 1, b > 0.

Respuesta :

joaobezerra joaobezerra
  • 04-03-2021

Answer:

The solution is 1.

Step-by-step explanation:

Logarithm:

Suppose we have a logarithmic equation in the following format:

[tex]\log_{a} b = c[/tex]

It means that:

[tex]a_c = b[/tex]

In this question:

[tex]\log_{b} 1 = x[/tex]

Which means that:

[tex]b^x = 1[/tex]

Every number, elevated to 0, is 1. So

[tex]b^0 = 1[/tex]

Which means that the solution is [tex]x = 1[/tex]

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