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If-a-and-b-is-root-equation-3-log-3-4x-2-3-4-log-2-x-2-1-49-then-a-b-a-3-b-2-c-1-d-0-e-1-

Question Number 66276 by gunawan last updated on 12/Aug/19 $$\mathrm{If}\:{a}\:\mathrm{and}\:{b}\:\mathrm{is}\:\mathrm{root}\:\mathrm{equation} \\ $$$$\mathrm{3}^{\mathrm{log}_{\mathrm{3}} \left(\mathrm{4x}^{\mathrm{2}} +\mathrm{3}\right)} +\mathrm{4}^{\mathrm{log}_{\mathrm{2}} \left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)} =\mathrm{49} \\ $$$$\mathrm{then} \\ $$$${a}+{b}=.. \\ $$$${a}.\:\mathrm{3} \\…

Question-131751

Question Number 131751 by aurpeyz last updated on 08/Feb/21 Answered by physicstutes last updated on 08/Feb/21 $$\:\mathcal{I}\:=\:\frac{{V}}{\mathcal{R}} \\ $$$$\Rightarrow\:\frac{\mathrm{2}}{\mathrm{10},\mathrm{000}}\:=\:\frac{\mathrm{20}}{\mathcal{R}} \\ $$$$\Rightarrow\:{R}\:=\:\mathrm{100},\mathrm{000}\:\Omega \\ $$ Terms of…

if-a-n-and-b-n-are-two-real-sequence-such-that-e-a-n-a-n-e-b-n-a-proof-that-a-n-gt-0-b-n-gt-0-b-if-a-n-gt-0-n-N-if-n-0-a-n-converge-then-n-0-b-n-a-n-converge-

Question Number 657 by 123456 last updated on 21/Feb/15 $${if}\:\left({a}_{{n}} \right)\:{and}\:\left({b}_{{n}} \right)\:{are}\:{two}\:{real}\:{sequence} \\ $$$${such}\:{that}\:{e}^{{a}_{{n}} } ={a}_{{n}} +{e}^{{b}_{{n}} } \\ $$$$\left.{a}\right)\:{proof}\:{that}\:{a}_{{n}} >\mathrm{0}\Rightarrow{b}_{{n}} >\mathrm{0} \\ $$$$\left.{b}\right)\:{if}\:{a}_{{n}} >\mathrm{0}\forall{n}\in\mathbb{N}\:{if}\:\underset{{n}=\mathrm{0}}…