# Convert this non-linear equation into a linear equation

### Convert this non-linear equation into a linear equation

Non-linear equation: y=bx^n
Reduce this non-linear equation to the linear form Y=mX+c, where X and Y represent the functions of x or y or both and m and c as constants.

Guest

### Re: Convert this non-linear equation into a linear equation

Good afternoon!!

$$y=bx^n$$

$$\log(y)=\log\left(bx^n\right)\\ \log(y)=\log(b)+\log\left(x^n\right)\\ \log(y)=\log(b)+n\log(x)\\ \begin{cases}Y=\log(y)\\m=n\\X=\log(x)\\c=\log(b)\end{cases}\\ \boxed{Y=c+mX}$$

Hope to Have Helped! (3H)

Baltuilhe

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