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| lehrkraefte:blc:miniaufgaben:kw03-2018 [2018/01/16 07:34] – created Ivo Blöchliger | lehrkraefte:blc:miniaufgaben:kw03-2018 [2020/08/09 13:45] (current) – external edit 127.0.0.1 |
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| | <PRELOAD> |
| | miniaufgabe.js |
| | </PRELOAD> |
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| | ==== 15. Januar 2018 bis 19. Januar 2018 ==== |
| | === Dienstag 16. Januar 2018 und Donnerstag 18. Januar 2018 === |
| | Schreiben Sie als Linearkombination (Summe von Vielfachen) von $\log_a(x)$ und $\log_a(y)$ |
| | <JS>miniAufgabe("#exologlaws","#solloglaws", |
| | [["$\\log_a\\left(\\left(x^{-2}y^{-3}\\right)^{4}\\right)+\\log_a\\left(\\left(x^{-5}y^{-3}\\right)^{5}\\right)$", "$-33 \\log_a(x) -27\\log_a(y)$"], ["$\\log_a\\left(\\left(x^{5}y^{5}\\right)^{3}\\right)+\\log_a\\left(\\left(x^{-2}y^{-3}\\right)^{-5}\\right)$", "$25 \\log_a(x) +30\\log_a(y)$"], ["$\\log_a\\left(\\left(x^{5}y^{2}\\right)^{-3}\\right)+\\log_a\\left(\\left(x^{-5}y^{-4}\\right)^{-3}\\right)$", "$0 \\log_a(x) +6\\log_a(y)$"], ["$\\log_a\\left(\\left(x^{5}y^{-2}\\right)^{-2}\\right)+\\log_a\\left(\\left(x^{-2}y^{-2}\\right)^{5}\\right)$", "$-20 \\log_a(x) -6\\log_a(y)$"], ["$\\log_a\\left(\\left(x^{4}y^{-5}\\right)^{3}\\right)+\\log_a\\left(\\left(x^{-2}y^{-2}\\right)^{4}\\right)$", "$4 \\log_a(x) -23\\log_a(y)$"], ["$\\log_a\\left(\\left(x^{-3}y^{2}\\right)^{3}\\right)+\\log_a\\left(\\left(x^{-5}y^{-5}\\right)^{-5}\\right)$", "$16 \\log_a(x) +31\\log_a(y)$"], ["$\\log_a\\left(\\left(x^{4}y^{5}\\right)^{2}\\right)+\\log_a\\left(\\left(x^{4}y^{-5}\\right)^{2}\\right)$", "$16 \\log_a(x) +0\\log_a(y)$"], ["$\\log_a\\left(\\left(x^{4}y^{5}\\right)^{5}\\right)+\\log_a\\left(\\left(x^{5}y^{-4}\\right)^{-3}\\right)$", "$5 \\log_a(x) +37\\log_a(y)$"], ["$\\log_a\\left(\\left(x^{2}y^{2}\\right)^{5}\\right)+\\log_a\\left(\\left(x^{3}y^{-4}\\right)^{2}\\right)$", "$16 \\log_a(x) +2\\log_a(y)$"], ["$\\log_a\\left(\\left(x^{2}y^{5}\\right)^{-4}\\right)+\\log_a\\left(\\left(x^{2}y^{-4}\\right)^{-3}\\right)$", "$-14 \\log_a(x) -8\\log_a(y)$"]], |
| | " <br> "); |
| | </JS> |
| | <HTML> |
| | <div id="exologlaws"></div> |
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| | </HTML> |
| | <hidden Lösungen> |
| | <HTML> |
| | <div id="solloglaws"></div> |
| | </HTML> |
| | </hidden> |
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