3(x-5) >-1 Log5(2x-1)=2 Log2(x-2)+log2x=3 Log5(x-3)

July 2022 1 1 Report

Log1/3(x-5) >-1
Log5(2x-1)=2
Log2(x-2)+log2x=3
Log5(x-3)<2
Log4(2x+3)=3
Log3(x-8)+log 3x=2
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NNNLLL54

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$1)\; \; log_{1/3}(x-5)\ \textgreater \ -1\; ,\; \; ODZ:\; x\ \textgreater \ 5\\\\x-5\ \textless \ (\frac{1}{3})^{-1}\; \; ,\; \; \; x-5\ \textless \ 3\; ,\; \; \; x\ \textless \ 8\\\\Otvet:\; \; 5\ \textless \ x\ \textless \ 8\\\\2)\; \; log_5(2x-1)=2\; ,\; \; ODZ:\; \; x\ \textgreater \ \frac{1}{2}\\\\2x-1=5^2\; ,\; \; 2x=26\; ,\; \; \; \underline {x=13}\\\\3)\; \; log_2(x-2)+log_2x=3\; ,\; \; \; ODZ:x\ \textgreater \ 2\\\\log_2\, (x\cdot (x-2))=log_22^3\\\\x^2-2x=8\; ,\; \; x^2-2x-8=0\; ,\; \; x_1=-2\notin ODZ\; ,\; x_2=4\\\\Otvet:\; \; x=4\; .$

$4)\; \; log_5(x-3)\ \textless \ 2\; ,\; \; \; ODZ:\; x\ \textgreater \ 3\\\\x-3\ \textless \ 5^2\; ,\; \; x-3\ \textless \ 25\; ,\; \; x\ \textless \ 28\\\\Otvet:\; \; 3\ \textless \ x\ \textless \ 28\\\\5)\; \; log_4(2x+3)=3\; ,\; \; \; ODZ:\; x\ \textgreater \ -\frac{3}{2}\\\\2x+3=4^3\; ,\; \; 2x+3=64\; ,\; \; 2x=61\; ,\; \underline {x=30,5}\\\\6)\; \; log_3(x-8)+log_3x=2; ,\; \; ODZ:\; x\ \textgreater \ 8\\\\log_3(x\cdot (x-8))=log_33^2\\\\x^2-8x=9\; ,\; \; x^2-8x-9=0\; ,\\\\x_1=-1\notin ODZ\; ,\; \; x_2=9\\\\Otvet:\; \; x=9\; .$

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log 0,5 (x-1)=2 log x+2 (16)=4 log 3x-1 (4)=2 lg(2-x)+lg(1-x)=lg(12) log 4 (40+8...

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abricos515 March 2022 | 0 Ответы

samorodnaya sera yavlyaetsya v osnovnom produktom vulkanicheskoj deyatelnosti obrazu

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log 0,5 (x-1)=2 log x+2 (16)=4 log 3x-1 (4)=2 lg(2-x)+lg(1-x)=lg(12) log 4 (40+8...

samorodnaya sera yavlyaetsya v osnovnom produktom vulkanicheskoj deyatelnosti obrazu

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