Flynn Powell
02/13/2023 · Junior High School
Question For the equation given below, one could use Newton's method as a way to approximate the solution. Find Newton's formula as \( x_{n+1}=F\left(x_{n}\right) \) that would enable you to do so. \[ \ln (x)-9=-7 x \] Sorry, that's incorrect. Try again? \( x_{n+1}=\square \)
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The Newton's method formula for the equation \(\ln(x) - 9 = -7x\) is:
\[
x_{n+1} = x_n - \frac{x_n(\ln(x_n) + 7x_n - 9)}{1 + 7x_n}
\]
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