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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)

laugh  !

 Dec 27, 2019
edited by asinus  Dec 27, 2019

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