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Question Number 12093 by uni last updated on 13/Apr/17

$${\log }_{\mathrm{abc}}\mathrm{b}=3$$$${\log }_{\mathrm{abc}}\mathrm{c}=4$$$${\log }_{\mathrm{abc}}\mathrm{a}=?$$

Answered by ajfour last updated on 13/Apr/17

$$\log {}_{abc}abc=\left(\log {}_{abc}a\right)+\left(\log {}_{abc}b\right)+\left(\log {}_{abc}c\right)=1$$$$\left(\log {}_{abc}a\right)+3+4=1$$$$\log {}_{abc}a=-6.$$$$$$$$$$

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