Question

Convert the following Logarithmic Equation into a Exponential Equation. log_3(-2x+1)=-2y+6

Answer 1

Answer:

The conversion is given by $3^{-2y+6} = -2x+1$.

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:

$\log_{a} b = c$

Means that:

$b = a^c$

We are given the following equation:

$\log_{3} (-2x+1) = -2y + 6$

It means that

$3^{-2y+6} = -2x+1$

Which is the conversion.