Question Number 140680 by bemath last updated on 11/May/21 $$\:\mathrm{log}\:_{\left(\mathrm{x}+\mathrm{2}\right)} \left(\mathrm{7x}^{\mathrm{2}} −\mathrm{x}^{\mathrm{3}} \right)−\mathrm{log}\:_{\frac{\mathrm{1}}{\mathrm{x}+\mathrm{2}}} \left(\mathrm{x}^{\mathrm{2}} −\mathrm{3x}\right)\geqslant\:\mathrm{log}\:_{\sqrt{\mathrm{x}+\mathrm{2}}\:} \left(\sqrt{\mathrm{5}−\mathrm{x}}\:\right) \\ $$ Answered by liberty last updated on 11/May/21…
Question Number 9516 by Joel575 last updated on 12/Dec/16 $$\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\:\lfloor\mathrm{log}_{\mathrm{2}} \:{k}\rfloor\:=\:\mathrm{2018} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{n}\:? \\ $$ Commented by sou1618 last updated on 12/Dec/16 $$\ast{K}=\lfloor{log}_{\mathrm{2}}…
Question Number 74945 by chess1 last updated on 04/Dec/19 Commented by chess1 last updated on 04/Dec/19 $$\mathrm{solve}\:\mathrm{equation} \\ $$ Answered by MJS last updated on…
Question Number 9334 by j.masanja06@gmail.com last updated on 30/Nov/16 $$\mathrm{express}\:\mathrm{the}\:\mathrm{following}\:\mathrm{in}\:\mathrm{form}\:\mathrm{of}\:\mathrm{log}\:\mathrm{a}\left(\mathrm{f}\left(\mathrm{x}\right)\right) \\ $$$$\left(\mathrm{i}\right)\:\mathrm{4log}_{\mathrm{a}} \mathrm{x}−\mathrm{log}_{\mathrm{a}} \left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}^{\mathrm{3}} \right) \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{log}_{\mathrm{a}} \mathrm{x}\:+\:\:\mathrm{log}_{\mathrm{a}} \left(\mathrm{x}+\mathrm{3}\right) \\ $$ Answered by mrW…
Question Number 9333 by j.masanja06@gmail.com last updated on 30/Nov/16 $$\mathrm{given}\:\mathrm{that}\:\mathrm{log}\:\mathrm{2}=\mathrm{0}.\mathrm{3}.\mathrm{show}\:\mathrm{that}\:\mathrm{log}\:\mathrm{5}=\mathrm{0}.\mathrm{7} \\ $$ Answered by mrW last updated on 30/Nov/16 $$\mathrm{2}×\mathrm{5}=\mathrm{10} \\ $$$$\mathrm{log}\:\left(\mathrm{2}×\mathrm{5}\right)=\mathrm{log}\:\mathrm{10}=\mathrm{1} \\ $$$$\mathrm{log}\:\mathrm{2}+\mathrm{log}\:\mathrm{5}=\mathrm{1} \\…
Question Number 74753 by necxxx last updated on 30/Nov/19 $${evaluate}\:\mathrm{5}^{\sqrt{\mathrm{log}\:\mathrm{7}_{\mathrm{5}} }} \:−\:\mathrm{7}^{\sqrt{\mathrm{log}\:\mathrm{5}_{\mathrm{7}} }} \\ $$ Commented by mr W last updated on 30/Nov/19 $${what}\:{is}\:\mathrm{log}\:\mathrm{7}_{\mathrm{5}} ?\:{the}\:{same}\:{as}\:\mathrm{log}_{\mathrm{5}}…
Question Number 74589 by Aditya789 last updated on 27/Nov/19 Answered by MJS last updated on 27/Nov/19 $${a}\left({b}−{c}\right){x}^{\mathrm{2}} +{b}\left({c}−{a}\right){xy}+{c}\left({a}−{b}\right){y}^{\mathrm{2}} =\mathrm{0} \\ $$$${x}^{\mathrm{2}} +\frac{{b}\left({c}−{a}\right){y}}{{a}\left({b}−{c}\right)}{x}+\frac{{c}\left({a}−{b}\right){y}^{\mathrm{2}} }{{a}\left({b}−{c}\right)}=\mathrm{0} \\ $$$${x}={t}−\frac{{b}\left({c}−{a}\right){y}}{\mathrm{2}{a}\left({b}−{c}\right)}…
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Question Number 8893 by j.masanja06@gmail.com last updated on 04/Nov/16 $$\mathrm{if}\:\mathrm{log}_{\mathrm{x}} \mathrm{a},\mathrm{log}_{\mathrm{x}\:} \mathrm{b},\mathrm{log}_{\mathrm{x}} \mathrm{c}\:\mathrm{are}\:\mathrm{the}\:\mathrm{term}\:\mathrm{of}\:\mathrm{A}.\mathrm{P} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\mathrm{c}^{\mathrm{2}} =\left(\mathrm{ac}\right)\mathrm{log}_{\mathrm{a}\:} \mathrm{b} \\ $$ Commented by j.masanja06@gmail.com last updated on…
Question Number 8720 by www.matikzone.tk last updated on 24/Oct/16 Commented by prakash jain last updated on 24/Oct/16 $${what}\:{is}\:{meant}\:{by}\:{a}_{\mathrm{log}{c}} \\ $$ Commented by www.matikzone.tk last updated…