Menu Close

Solve-log-2-r-log-3-p-3-p-r-11-fund-p-and-r-




Question Number 199399 by Calculusboy last updated on 03/Nov/23
Solve: log_2 r+log_3 p=3  p+r=11   fund p and r.
$$\boldsymbol{{Solve}}:\:\boldsymbol{{log}}_{\mathrm{2}} \boldsymbol{{r}}+\boldsymbol{{log}}_{\mathrm{3}} \boldsymbol{{p}}=\mathrm{3} \\ $$$$\boldsymbol{{p}}+\boldsymbol{{r}}=\mathrm{11}\:\:\:\boldsymbol{{fund}}\:\boldsymbol{{p}}\:\boldsymbol{{and}}\:\boldsymbol{{r}}. \\ $$
Answered by mr W last updated on 03/Nov/23
one solution (p=9, r=2) can be “seen”,  other solution (r≈10.3335, p≈0.6665)  can only be approximated.  generally there is no exact solution.
$${one}\:{solution}\:\left({p}=\mathrm{9},\:{r}=\mathrm{2}\right)\:{can}\:{be}\:“{seen}'', \\ $$$${other}\:{solution}\:\left({r}\approx\mathrm{10}.\mathrm{3335},\:{p}\approx\mathrm{0}.\mathrm{6665}\right) \\ $$$${can}\:{only}\:{be}\:{approximated}. \\ $$$${generally}\:{there}\:{is}\:{no}\:{exact}\:{solution}. \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *