Category: Logarithms

Question Number 110183 by bemath last updated on 27/Aug/20 $$\sqrt{★}\frac{be}{math}\sqrt{★}$$$$\log {}_2\left(x\right)+\log {}_3\left(x\right)+\log {}_4\left(x\right)=1$$$$x=?$$ Answered by Olaf last updated on…

Question Number 175104 by blackmamba last updated on 19/Aug/22 $$\log {}_3(a+1)=\log {}_4(a+8)$$$$a=?$$ 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 174940 by Nature911 last updated on 14/Aug/22 $$f\left(x\right)=(log{3}^x-2log3).(x^2-1)$$$$let$$ Commented by Rasheed.Sindhi last updated on 15/Aug/22 $${Complete}\:{your}\:{question}\:{please}! \…

Question Number 43187 by ajfour last updated on 08/Sep/18 Commented by ajfour last updated on 08/Sep/18 $$massof(toy+fuel)=M+m$$$$exhaustspeed\left(relative\right)=u$$$$frictioncoefficient=\mu$$$$Find\left(\mathit{i}\right)\mathit{m}\mathit{a}\mathit{x}\mathit{i}\mathit{m}\mathit{u}\mathit{m}\mathit{v}\mathit{e}\mathit{l}\mathit{o}\mathit{c}\mathit{i}\mathit{t}\mathit{y}$$$$\left(\boldsymbol{{ii}}\right)\:\boldsymbol{{Determine}}\:\boldsymbol{{how}}\:\boldsymbol{{far}}\:\boldsymbol{{can}}\:\boldsymbol{{it}}\:\boldsymbol{{go}}.…

Question Number 42670 by Tawa1 last updated on 31/Aug/18 $$\mathrm{If}\mathrm{a},\mathrm{b}\mathrm{and}\mathrm{c}\mathrm{are}\mathrm{in}\mathrm{a}\mathrm{GP}.\mathrm{Prove}\mathrm{that}{\log }_{\mathrm{n}}\mathrm{a},{\log }_{\mathrm{n}}\mathrm{b},{\log }_{\mathrm{n}}\mathrm{c}\mathrm{are}\mathrm{in}\mathrm{AP}$$ Commented by maxmathsup by imad last updated on 31/Aug/18 $${we}\:{have}\:\:\frac{{b}}{{a}}\:=\frac{{c}}{{b}}\:\Rightarrow{b}^{\mathrm{2}}…