ncheserem764 ncheserem764
  • 17-02-2021
  • Mathematics
contestada

Convert the following Logarithmic Equation into a Exponential Equation.

log_3(-2x+1)=-2y+6

Respuesta :

joaobezerra joaobezerra
  • 22-02-2021

Answer:

The conversion is given by [tex]3^{-2y+6} = -2x+1[/tex].

Step-by-step explanation:

Logarithmic Equation to Exponential Equation:

To realize the conversion of a logarithmic equation to an exponential equation, we need to understand the meaning of a logarithim. We have that:

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

Means that:

[tex]b = a^c[/tex]

We are given the following equation:

[tex]\log_{3} (-2x+1) = -2y + 6[/tex]

It means that

[tex]3^{-2y+6} = -2x+1[/tex]

Which is the conversion.

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