The equation has a solution on the interval

MATHEMATICS · Single correct · A Level · Mathematics · Numerical methods · Numerical methods

Problem

The equation ln⁡x−2=0\ln x -2 =0 has a solution on the interval [7,8][7,8]. What is the minimum number nn of consecutive interval halvings required so that the length of the remaining interval is at most 0.0010.001? (a) 1111 (b) 88 (c) 1010 (d) 99

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