Question Number 207274 by hardmath last updated on 10/May/24
$$\mathrm{log}_{\boldsymbol{\mathrm{abc}}} \:\mathrm{a}\:=\:\mathrm{2}\:\:\:\mathrm{and}\:\:\:\mathrm{log}_{\boldsymbol{\mathrm{abc}}} \:\mathrm{b}\:=\:\mathrm{3} \\ $$$$\mathrm{find}:\:\:\mathrm{log}_{\boldsymbol{\mathrm{abc}}} \:\mathrm{c}\:=\:? \\ $$
Answered by MM42 last updated on 10/May/24
$${log}_{{abc}} {a}+{log}_{{abc}} {b}+{log}_{{abc}} {c}=\mathrm{1} \\ $$$$\Rightarrow{log}_{{abc}} {c}=−\mathrm{4}\:\checkmark \\ $$
Commented by hardmath last updated on 10/May/24
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{dear}\:\mathrm{professor} \\ $$