asinus

7log(3x)+3log(5x)=15 what is x

i assume lg is the 10 - logarithm

\(7(lg3+lgx)+3(lg5+lgx)=15\)

\(7lg3+7lgx+3lg5+3lgx=15\)

\(7lgx+3lgx=15-(7lg3+3lg5)\)

\(lgx^7+lgx^3=15-lg \ 273375\)

\(lg(x^7\times x^3)=15-lg \ 273375\)

\(lgx^{10}=15-lg \ 273375\)

\(lgx^{10}+lg273375=15\)

\(lg \ (273375 \ x^{10})=15\)

\(273375 x^{10}=10^{15}\)

\(\large x^{10}=\frac{10^{15}}{273375}\)

\(\Large x=\sqrt[10]{\frac{10^{15}}{273375}} \)

\(\large x=9.04324132413\)

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(3x2y3)(2xy2)2

____________

       -2x2y

\(\Large \frac{(3x^2y^3)(2xy^2)^2}{-2x^2y}=\frac{(3x^2y^3)(4x^2y^4)}{-2x^2y}=-6x^2y^6\)

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Lovepreet is selling tickets for the school play. She sold 10 more adult tickets than child tickets, and she sold twice as many senior tickets as children tickets. adult tickets cost $5, Senior tickets cost $3, and child tickets cost $2. If Lovepreet made $700, determine how many for each ticket she sold.

child tickets = x

\(\$5(x+10)+\$2\times x+\$3\times2x=\$700\) [divided by $;

\(5x+50+2x+6x=700\)     [ alternate sides and signs                                                                                                              add 

\(13x=650\)                                               [ divided by 13

\(x=50\)

\(Lovepreet \ sold \ 50 \ tickets \ for \ children, \)

\( 60 \ tickets \ for \ adults \ and \ 100 \ tickets \ for \ seniors.\)

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h= [18(tan9)*tan(3.5)]/tan(9)-tan(3.5)

\(h=\frac{18(tan 9)(tan3.5)}{tan 9}-tan3.5\)

deg    \(h=\frac{18(tan 9)(tan3.5)}{tan 9}-tan3.5=1.03976454256\)

rad     \(h=\frac{18(tan 9)(tan3.5)}{tan 9}-tan3.5=6.36795588271\) 

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Ashley bought 4n articles for c cents each. When she sold 3n of the articles she noticed that she had recovered her initial investment. Express in terms of c the amount she charged for each article.

\(4c=3x\)

\(\large x=\frac{4c}{3}\)

\(Ashley \ sold \ the \ 3 \ items \ at \ the \ price \ of \large \ x=\frac{4c}{3}\)

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please this is urgent for a job

22 as a percentage of 1378

\(22:x=1378:100\%\)

\(\large x=\frac{22\times 100\%}{1378}\)

\(x=1.59652\ \%\)

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how many times does 6.3 million go into 9 billion?

\(EU\ 1\ Billion = 10^{12}\)

\(US\ 1\ Billion=10^{9} \)

\(\large EU\frac{9\times10^{12}}{6.3\times 10^6}=2.72\overline{72}\times 10^6\)

\(\large US\frac{9\times10^{9}}{6.3\times 10^6}=1.\overline{428571}\times 10^3\)

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Ich fahre jeden Tag 100 km mit dem Auto. Der Sprit kostet zurzeit 1.40 pro Liter. Mein Durschnitsverbrauch liegt bei 9 Liter. Wie teuer ist eine fahrt?

\(\large x=\frac{100km}{Fahrt}\cdot\frac { 9l }{100km } \cdot \frac { 1,40\in }{ l }=\frac{100\cdot 9 \cdot1,40}{100}\cdot \frac{\in}{Fahrt}=\frac{12,60\in}{Fahrt} \)

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Hallo Gast,

klicke mal den Link. Dann kannst du deine Frage selbst gut beantworten.

solve −(2x+1)+4x=13+2(1+5x)

\(-(2x+1)+4x=13+2(1+5x)\)            to calculate

\(-2x-1+4x=13+2+10x\)           

                                         Change of page with change of sign

\(-8x=16\)                                                            divide by -8

\(x=-2\)

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