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Find the number of positive real numbers x such that $$\log_{10} x = \sin x$$

Dec 26, 2019

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Find the number of positive real numbers x such that

$$\log_{10} x = \sin x$$

Hello Guest!

$$\log_{10} x = \sin x\\ 10^{sin\ x}=x\\ 10^{sin(x)}-x=0$$

x=2.696256562..  (determined graphically)

!

Dec 27, 2019
edited by asinus  Dec 27, 2019