Question Number 110183 by bemath last updated on 27/Aug/20 $$\:\:\:\sqrt{\bigstar}\frac{{be}}{{math}}\sqrt{\bigstar} \\ $$$$\:\:\mathrm{log}\:_{\mathrm{2}} \left({x}\right)+\mathrm{log}\:_{\mathrm{3}} \left({x}\right)+\mathrm{log}\:_{\mathrm{4}} \left({x}\right)=\mathrm{1} \\ $$$$\:\:\:{x}=? \\ $$ Answered by Olaf last updated on…
Question Number 109963 by bobhans last updated on 26/Aug/20 Answered by bemath last updated on 26/Aug/20 $$\left(\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{2}}\:=\:\sqrt{\left({x}−\mathrm{1}\right)^{\mathrm{2}} +\mathrm{1}}\:\geqslant\:\mathrm{1} \\ $$$$\left(\mathrm{2}\right)\sqrt{{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{10}}\:=\sqrt{\left({x}−\mathrm{1}\right)^{\mathrm{2}} +\mathrm{9}}\:\geqslant\:\mathrm{3} \\ $$$$\Leftrightarrow\:\mathrm{log}\:_{\mathrm{3}}…
Question Number 175104 by blackmamba last updated on 19/Aug/22 $$\:\:\mathrm{log}\:_{\mathrm{3}} \left({a}+\mathrm{1}\right)=\mathrm{log}\:_{\mathrm{4}} \left({a}+\mathrm{8}\right) \\ $$$$\:{a}=? \\ $$ Answered by MJS_new last updated on 19/Aug/22 $${a}+\mathrm{8}=\mathrm{4}^{{x}} \wedge{a}+\mathrm{1}=\mathrm{3}^{{x}}…
Question Number 175040 by andres_chu last updated on 17/Aug/22 $$ \\ $$hello, please, someone help me to correct the equation? It's typed wrong and I…
Question Number 174940 by Nature911 last updated on 14/Aug/22 $${f}\left({x}\right)=\left({log}\mathrm{3}^{{x}} −\mathrm{2}{log}\mathrm{3}\right).\left({x}^{\mathrm{2}} −\mathrm{1}\right) \\ $$$${let} \\ $$ Commented by Rasheed.Sindhi last updated on 15/Aug/22 $${Complete}\:{your}\:{question}\:{please}! \\…
Question Number 174287 by Engr_Jidda last updated on 28/Jul/22 Answered by haf last updated on 28/Jul/22 $${use}\:\:{ln}\:{function} \\ $$ Commented by Engr_Jidda last updated on…
Question Number 43187 by ajfour last updated on 08/Sep/18 Commented by ajfour last updated on 08/Sep/18 $${mass}\:{of}\:\left({toy}+{fuel}\right)=\:{M}+{m} \\ $$$${exhaust}\:{speed}\:\left({relative}\right)\:=\:{u} \\ $$$${friction}\:{coefficient}\:=\mu \\ $$$${Find}\:\left(\boldsymbol{{i}}\right)\:\boldsymbol{{maximum}}\:\boldsymbol{{velocity}} \\ $$$$\left(\boldsymbol{{ii}}\right)\:\boldsymbol{{Determine}}\:\boldsymbol{{how}}\:\boldsymbol{{far}}\:\boldsymbol{{can}}\:\boldsymbol{{it}}\:\boldsymbol{{go}}.…
Question Number 42772 by nelva last updated on 02/Sep/18 $$\mathrm{mag}\int\mathrm{2x}+\mathrm{x}^{\mathrm{3}} \\ $$$$= \\ $$ Commented by maxmathsup by imad last updated on 02/Sep/18 $${what}\:{mean}\:{mag}? \\…
Question Number 42670 by Tawa1 last updated on 31/Aug/18 $$\mathrm{If}\:\:\mathrm{a},\:\mathrm{b}\:\mathrm{and}\:\mathrm{c}\:\:\mathrm{are}\:\mathrm{in}\:\mathrm{a}\:\mathrm{GP}.\:\:\mathrm{Prove}\:\mathrm{that}\:\:\:\mathrm{log}_{\mathrm{n}} \mathrm{a}\:,\:\:\mathrm{log}_{\mathrm{n}} \mathrm{b}\:\:,\:\:\mathrm{log}_{\mathrm{n}} \mathrm{c}\:\:\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP} \\ $$ Commented by maxmathsup by imad last updated on 31/Aug/18 $${we}\:{have}\:\:\frac{{b}}{{a}}\:=\frac{{c}}{{b}}\:\Rightarrow{b}^{\mathrm{2}}…
Question Number 42549 by Tawa1 last updated on 27/Aug/18 $$\mathrm{If}\:\:\:\mathrm{y}\:=\:\mathrm{a}^{\frac{\mathrm{1}}{\mathrm{1}\:−\:\mathrm{log}_{\mathrm{a}} \mathrm{x}}} \:\:\:\:\:\mathrm{and}\:\:\:\:\:\:\:\:\mathrm{z}\:=\:\mathrm{a}^{\frac{\mathrm{1}}{\mathrm{1}\:−\:\mathrm{log}_{\mathrm{a}} \mathrm{y}}} \:\:.\:\:\mathrm{show}\:\mathrm{that}\:\:\:\:\:\mathrm{x}\:=\:\mathrm{a}^{\frac{\mathrm{1}}{\mathrm{1}\:−\:\mathrm{log}_{\mathrm{a}} \mathrm{z}}} \\ $$ Answered by math1967 last updated on 27/Aug/18 $${log}_{{a}}…