Finding Sample Size (n) using the binomial equation for non-parametric test design

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Im using the non-parametric binomial equation, found in the link here https://reliawiki.org/index.php/Reliability_Test_Design

It is written below:

1−C=∑(i=0 to f)(n,i) ((1−R)^i)*R^(n−i)

Where C is the confidence level, f is the amount failures R is the reliability n is the amount of samples

I am trying to solve for n, when the amount of failures = 1

I have solved for n, when failures = 0, but when failures is 1 the equation takes a shape im not familiar with.

Is anyone familiar with solving this equation?

Thanks,