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.