Let and for . Explain why the equation must have at least one real solution in the…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let f(x)=ln⁡xf(x)=\ln x and g(x)=x−2g(x)=x-2 for 1≤x≤41\le x\le 4. Explain why the equation f(x)=g(x)f(x)=g(x) must have at least one real solution in the interval [1,4][1,4].

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