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The Number of Real Roots

Source: 1984 National High School Mathematics League, Exam One, Problem 4

February 22, 2020

Problem Statement

The number of real roots of the equation sin⁡x=lg⁡x\sin x=\lg x is (A)1(B)2(C)3(D)\text{(A)}1\qquad\text{(B)}2\qquad\text{(C)}3\qquad\text{(D)}more than 33
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