1) [tex] \sqrt{48} tg \frac{47p}{4} * sin \frac{46p}{3} [/tex] P- это число "пи" 2) [tex]log_2_x_+_225=2[/tex]. Created by rebrovavlada. algebra-ru

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rebrovavlada @rebrovavlada

July 2022 1 15 Report

1) [tex] \sqrt{48} tg \frac{47p}{4} * sin \frac{46p}{3}
[/tex]

P- это число "пи"

2) [tex]log_2_x_+_225=2[/tex]

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NNNLLL54

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$1) \sqrt{48} \cdot tg \frac{47\pi }{4}\cdot sin \frac{46\pi }{3}=\sqrt{48}\cdot tg(12\pi -\frac{\pi}{4}) \cdot sin(15\pi +\frac{\pi}{3})=\\\\=\sqrt{3\cdot 16}\cdot (-tg\frac{\pi}{4})\cdot (-sin\frac{\pi}{3})=4\sqrt3\cdot 1\cdot \frac{\sqrt3}{2}=6$

$2)\; \; log_{2x+2}\, 25=2\; \; ,\; \; \; ODZ:\; \; \left \{ {{{2x+2\ \textgreater \ 0}\atop {2x+2\ne 1}} \right. \; \left \{ {{x\ \textgreater \ -1} \atop {x\ne -\frac{1}{2}}} \right. \\\\log_{2x+2}\, 5^2=2\\\\2log_{2x+2}\, 5=2\\\\log_{2x+2}\, 5=1\\\\ \frac{1}{log_5(2x+2)}=1\\\\log_5(2x+2)=1\\\\2x+2=5\\\\2x=3\\\\x=1,5$

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