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Question Number 198132 Answers: 1 Comments: 0

Solve: ((log(x^2 +7x−5))/(log(x+2)))=2

$${Solve}: \\ $$$$\frac{\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{7}\boldsymbol{\mathrm{x}}−\mathrm{5}\right)}{\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{x}}+\mathrm{2}\right)}=\mathrm{2} \\ $$

Question Number 198131 Answers: 1 Comments: 0

Resoudre log(x−3)+log(x−2)=log(x^2 −4x−21)

$$\mathrm{Resoudre} \\ $$$$\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{x}}−\mathrm{3}\right)+\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{x}}−\mathrm{2}\right)=\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{\mathrm{x}}−\mathrm{21}\right) \\ $$$$ \\ $$

Question Number 198124 Answers: 2 Comments: 0

solve for x log100+log(2+x)=10

$${solve}\:{for}\:{x}\:{log}\mathrm{100}+{log}\left(\mathrm{2}+{x}\right)=\mathrm{10} \\ $$

Question Number 198123 Answers: 3 Comments: 0

Determiner lim_(x→3) ((x−3)/(^3 (√(x+5)) −2))

$$\mathrm{Determiner} \\ $$$$\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{3}} \:\frac{\boldsymbol{\mathrm{x}}−\mathrm{3}}{\:^{\mathrm{3}} \sqrt{\boldsymbol{\mathrm{x}}+\mathrm{5}}\:−\mathrm{2}} \\ $$$$ \\ $$

Question Number 198114 Answers: 1 Comments: 1

Question Number 198104 Answers: 1 Comments: 0

Question Number 198103 Answers: 3 Comments: 0

solve for x, y ∈N (√x)+(√y)=(√(2023))

$${solve}\:{for}\:{x},\:{y}\:\in{N} \\ $$$$\sqrt{{x}}+\sqrt{{y}}=\sqrt{\mathrm{2023}} \\ $$

Question Number 198093 Answers: 1 Comments: 0

Question Number 198276 Answers: 2 Comments: 0

Question Number 198084 Answers: 2 Comments: 0

Question Number 198077 Answers: 1 Comments: 0

Question Number 198074 Answers: 4 Comments: 0

Question Number 198067 Answers: 1 Comments: 0

A father reduced the quantity of food bought for the family by 10% when he found that the cost of living had increased by 15%. What is the fractional increase in the family food bill?

$${A}\:{father}\:{reduced}\:{the}\:{quantity}\:{of}\:{food} \\ $$$${bought}\:{for}\:{the}\:{family}\:{by}\:\mathrm{10\%}\:{when}\:{he} \\ $$$${found}\:{that}\:{the}\:{cost}\:{of}\:{living}\:{had} \\ $$$${increased}\:{by}\:\mathrm{15\%}.\:{What}\:{is}\:{the}\:{fractional} \\ $$$${increase}\:{in}\:{the}\:{family}\:{food}\:{bill}? \\ $$

Question Number 198065 Answers: 1 Comments: 0

2^x +9+2^x =40

$$\mathrm{2}^{{x}} +\mathrm{9}+\mathrm{2}^{{x}} =\mathrm{40} \\ $$

Question Number 198064 Answers: 1 Comments: 0

3×5^x +5^(x+1) =8×5^3

$$\mathrm{3}×\mathrm{5}^{{x}} +\mathrm{5}^{{x}+\mathrm{1}} =\mathrm{8}×\mathrm{5}^{\mathrm{3}} \\ $$

Question Number 198063 Answers: 2 Comments: 0

solve for x, y ∈R (√(x^2 +2x+1))+(√(y^2 −6y+9))+(√(x^2 −4x+4))+(√(x^2 +y^2 −2xy))=4

$${solve}\:{for}\:{x},\:{y}\:\in{R} \\ $$$$\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{1}}+\sqrt{{y}^{\mathrm{2}} −\mathrm{6}{y}+\mathrm{9}}+\sqrt{{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{4}}+\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{xy}}=\mathrm{4} \\ $$

Question Number 198062 Answers: 0 Comments: 1

Question Number 198059 Answers: 1 Comments: 1

Montrer l egalite (voir la figure )

$$\mathrm{Montrer}\:\mathrm{l}\:\mathrm{egalite}\:\:\left(\mathrm{voir}\:\mathrm{la}\:\mathrm{figure}\:\right) \\ $$

Question Number 198054 Answers: 0 Comments: 3

In △MNO, MN=6units, MO=4 units and NO=12 units. If the bisector of the angle M meets NO at P, calculate NP.

$${In}\:\bigtriangleup{MNO},\:{MN}=\mathrm{6}{units},\:{MO}=\mathrm{4}\:{units} \\ $$$${and}\:{NO}=\mathrm{12}\:{units}.\:{If}\:{the}\:{bisector}\:{of}\:{the} \\ $$$${angle}\:{M}\:{meets}\:{NO}\:{at}\:{P},\:{calculate}\:{NP}. \\ $$

Question Number 198052 Answers: 1 Comments: 0

Question Number 198050 Answers: 1 Comments: 0

Question Number 198039 Answers: 1 Comments: 0

Question Number 198036 Answers: 2 Comments: 0

if A÷6 reminder is 4 and B÷6 reminder is 5 then (A+B)÷6 reminder is ?

$${if}\:{A}\boldsymbol{\div}\mathrm{6}\:{reminder}\:{is}\:\mathrm{4}\:{and}\:{B}\boldsymbol{\div}\mathrm{6} \\ $$$${reminder}\:{is}\:\mathrm{5}\:{then}\:\left({A}+{B}\right)\boldsymbol{\div}\mathrm{6} \\ $$$${reminder}\:{is}\:? \\ $$

Question Number 198032 Answers: 0 Comments: 1

lim_(x→∞) (1/( (√(4025x)))) ((1/( (√x))) +(1/( (√(x+1)))) +(1/( (√(x+2)) )) +... +(1/( (√(4025x)))) )=?

$$\:\:\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{4025x}}}\:\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}}}\:+\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}+\mathrm{1}}}\:+\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}+\mathrm{2}}\:}\:+...\:+\frac{\mathrm{1}}{\:\sqrt{\mathrm{4025x}}}\:\right)=? \\ $$

Question Number 198031 Answers: 3 Comments: 0

Question Number 198030 Answers: 1 Comments: 0

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