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Question-170327




Question Number 170327 by mathlove last updated on 21/May/22
Answered by greougoury555 last updated on 21/May/22
(1/(log _a (abc))) + (1/(log _b (abc))) +(1/(log _c (abc))) =   log _(abc) a+log_(abc) b+log _(abc) c = 1
$$\frac{\mathrm{1}}{\mathrm{log}\:_{{a}} \left({abc}\right)}\:+\:\frac{\mathrm{1}}{\mathrm{log}\:_{{b}} \left({abc}\right)}\:+\frac{\mathrm{1}}{\mathrm{log}\:_{{c}} \left({abc}\right)}\:=\: \\ $$$$\mathrm{log}\:_{{abc}} {a}+\mathrm{log}_{{abc}} {b}+\mathrm{log}\:_{{abc}} {c}\:=\:\mathrm{1}\: \\ $$

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