Question Number 81437 by jagoll last updated on 13/Feb/20 $$\mathrm{5}\:^{\mathrm{lnx}} \:=\:\mathrm{50}\:−\mathrm{x}^{\mathrm{ln}\:\mathrm{5}} \\ $$$$ \\ $$ Commented by john santu last updated on 13/Feb/20 $$\mathrm{formula}\:\mathrm{a}^{\mathrm{log}_{\mathrm{b}} \:\mathrm{c}}…
Question Number 81364 by jagoll last updated on 12/Feb/20 $$\mathrm{log}_{\mathrm{2}} \:\left(\mathrm{log}_{\mathrm{3}} \:\left(\mathrm{log}_{\mathrm{2}} \:\frac{\mathrm{2}}{\mathrm{x}}\right)−\mathrm{1}\right)\:<\:\mathrm{1}\: \\ $$$$\mathrm{has}\:\mathrm{solution}\:\frac{\mathrm{1}}{\mathrm{a}^{\mathrm{26}} }<\mathrm{x}<\mathrm{b}.\:\mathrm{find}\:\mathrm{a}\:? \\ $$ Commented by john santu last updated on…
Question Number 146849 by Apor_mu_calculus last updated on 16/Jul/21 Commented by Cyriille last updated on 16/Jul/21 $$\mathrm{To}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{equation}\:\mathrm{you}\:\mathrm{have}\: \\ $$$$\mathrm{to}\:\mathrm{plot}\:\mathrm{2}\:\mathrm{graphs}\:; \\ $$$${y}={x}^{\mathrm{2}} \:\:\:{and} \\ $$$${y}=\mathrm{16}^{{x}} \\…
Question Number 15680 by Tinkutara last updated on 12/Jun/17 $$\mathrm{How}\:\mathrm{many}\:\mathrm{values}\:\mathrm{are}\:\mathrm{there}\:\mathrm{for}\:{W}\left({x}\right) \\ $$$$\mathrm{where}\:{x}\:<\:\frac{−\mathrm{1}}{{e}}\:?\:\mathrm{mrW1}\:\mathrm{Sir}\:\mathrm{please} \\ $$$$\mathrm{answer}. \\ $$ Answered by mrW1 last updated on 12/Jun/17 $$\mathrm{W}\left(\mathrm{x}\right)\:\mathrm{has}\:\mathrm{no}\:\mathrm{real}\:\mathrm{value}\:\mathrm{for}\:\mathrm{x}<−\frac{\mathrm{1}}{\mathrm{e}} \\…
Question Number 81039 by jagoll last updated on 09/Feb/20 $$\frac{\mathrm{log}_{\:\mathrm{0},\mathrm{2}} \left({x}−\mathrm{2}\right)}{\left(\mathrm{4}^{{x}} −\mathrm{8}\right)\left(\mid{x}\mid−\mathrm{5}\right)}\:\geqslant\:\mathrm{0} \\ $$ Commented by john santu last updated on 09/Feb/20 $$\Rightarrow\left({i}\right)\:{x}>\mathrm{2}\:\wedge{x}\neq\mathrm{5}\: \\ $$$$\left({ii}\right)\:\mathrm{4}^{{x}}…
Question Number 15452 by 1415403730 last updated on 10/Jun/17 Answered by mrW1 last updated on 11/Jun/17 $$\mathrm{MN}=\mathrm{P} \\ $$$$\mathrm{N}=\mathrm{M}^{−\mathrm{1}} \mathrm{P} \\ $$$$\mathrm{M}=\left(_{\mathrm{4}\:\:\:\mathrm{3}} ^{\mathrm{1}\:\:\:\mathrm{2}} \right) \\…
Question Number 80844 by jagoll last updated on 07/Feb/20 $${If}\:\left(\mathrm{log}_{\mathrm{10}} \left({ax}\right)\right)\left(\mathrm{log}_{\mathrm{10}} \left({bx}\right)\right)=−\mathrm{1} \\ $$$${find}\:{x}\:{in}\:{term}\:{a}\:{and}\:{b}\: \\ $$ Commented by jagoll last updated on 07/Feb/20 $${can}\:{anyone}\:{help}\:{me} \\…
Question Number 15184 by Tinkutara last updated on 08/Jun/17 $$\mathrm{If}\:{y}\:=\:\mathrm{ln}\:{x}\:\mathrm{and}\:{y}\:=\:{a}^{{x}} \:\mathrm{have}\:\mathrm{a}\:\mathrm{solution} \\ $$$$\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of}\:{a}. \\ $$$$\left(\mathrm{1}\right)\:\left(\mathrm{0},\:\mathrm{1}\right) \\ $$$$\left(\mathrm{2}\right)\:\left(\frac{\mathrm{1}}{{e}},\:{e}\right) \\ $$$$\left(\mathrm{3}\right)\:\left(\mathrm{1},\:{e}\right) \\ $$$$\left(\mathrm{4}\right)\:\left(\mathrm{0},\:\mathrm{1}\right] \\ $$ Commented by…
Question Number 80687 by Power last updated on 05/Feb/20 Commented by Power last updated on 05/Feb/20 $$\left.\mathrm{a}\left.\right)\left.\frac{\mathrm{1}}{\mathrm{6}}\left.\:\:\:\:\:\mathrm{b}\right)\frac{\mathrm{1}}{\mathrm{3}}\:\:\:\:\:\:\mathrm{c}\right)\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\:\:\:\:\mathrm{d}\right)\frac{\mathrm{1}}{\mathrm{4}} \\ $$ Commented by MJS last updated on…
Question Number 15097 by Tinkutara last updated on 07/Jun/17 $$\mathrm{If}\:\mathrm{log}_{\mathrm{4}} \:\mathrm{log}_{\frac{\mathrm{1}}{\mathrm{2}}} \:\mathrm{log}_{\mathrm{3}} \:\left({x}\right)\:>\:\mathrm{0}\:\mathrm{then}\:{x}\:\mathrm{belongs} \\ $$$$\mathrm{to}\:\left(\mathrm{1},\:{a}\right),\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{a}^{\mathrm{2}} \:\mathrm{is}? \\ $$ Commented by prakash jain last updated on…