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Question Number 110460 by ZiYangLee last updated on 29/Aug/20

$$\mathrm{Find}\mathrm{all}\mathrm{continuous}\mathrm{real}\mathrm{function}f$$$$\mathrm{such}\mathrm{that}$$$$f\left(\ln (x+y)\right)=f\left(\sin \left(xy\right)\right)+f\left(\cos \left(y/x\right)\right)$$$$\mathrm{for}\mathrm{all}x,y\in {\mathbb{R}}^{+}.$$

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