amunnik04
04.08.2019 •
Mathematics
Which equation is equivalent to log3(2x4 + 8x3) – 3log3x = 2log3x? log3(–x3 + 8x2) = log3x2 –2log3(2x4 + 8x3 – x) = log3x2 log3(2x + 8) = log3x2 (the 3 after the log is the base)
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Ответ:
log3(2x^4+8x^3)-3log3x=2log3x
simplifying the above we get:
log3(2x^4+8x^3)=2log3x+3log3x
log3(2x^4+8x^3)=5log2x
Hence he answer should be:
log3 (x³)*(log3(2x+8))=5log3 x
3log3 x+log3(2x+8)=5log3 x
log3(2x+8)=5log3 x-3log3 x
log3 (2x+8)=2log3 x
log3 (2x+8)=log3 x²
the answer is log3 (2x+8)=log3 x²
Ответ: