Question

Convert the following Logarithmic Equation into a Exponential Equation.

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

Answer 1

The conversion is given by
`3^(-2y+6) = -2x+1`.

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.