Lời giải:
$\frac{1}{2^x}+\frac{1}{2^{x+4}}=17$
$\frac{16}{2^{x+4}}+\frac{1}{2^{x+4}}=17$
$\frac{17}{2^{x+4}}=17$
$2^{x+4}=1$
$x+4=0$
$x=-4$
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Violympic toán 7
Các câu hỏi tương tự
a) Cho \(M=\dfrac{42-x}{x-15}\) . Tìm số nguyên x để m đạt giá trị nhỏ nhất .
b) Tìm x sao cho \(\left(\dfrac{1}{2}\right)^x+\left(\dfrac{1}{2}\right)^{x-4}=17\)
Tìm x.
\(1,\dfrac{3}{2}\left(x-\dfrac{1}{3}\right)-\dfrac{1}{2}\left(x+\dfrac{1}{2}\right)=\dfrac{1}{4}\)
\(2,3\left(x-2\right)-4\left(x+2\right)=x+2\)
\(3,4x\left(x-1\right)+4x-2\left(x+1\right)=-2\)
\(4,x\left(x+2\right)-3\left(x-1\right)=3\left(x+1\right)\)
26 tháng 10 2021 lúc 12:36
Tìm x biết :
\(\left|x-\dfrac{1}{2}\right|+\left|x-\dfrac{1}{3}\right|+\left|x-\dfrac{1}{4}\right|+....+\left|x-\dfrac{1}{10}\right|=2x\)
Tim x, biet:
a, dfrac{x+1}{5}+dfrac{x+1}{6}dfrac{x+1}{7}+dfrac{x+1}{8}
b, dfrac{x-1}{2009}+dfrac{x-2}{2008}dfrac{x-3}{2007}+dfrac{x-4}{2006}
c, dfrac{3}{left(x+2right)left(x+5right)}+dfrac{5}{left(x+5right)left(x+10right)}+dfrac{7}{left(x+10right)left(x+17right)}dfrac{x}{left(x+2right)left(x+17right)}
d, dfrac{2}{left(x-1right)left(x-3right)}+dfrac{5}{left(x-3right)left(x-8right)}+dfrac{12}{left(x-8right)left(x-20right)}-dfrac{1}{x-20}dfrac{-3}{4}
Help me!!!!!!!!!!
Can gap lam. Ai lam duoc...
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Tim x, biet:
a, \(\dfrac{x+1}{5}+\dfrac{x+1}{6}=\dfrac{x+1}{7}+\dfrac{x+1}{8}\)
b, \(\dfrac{x-1}{2009}+\dfrac{x-2}{2008}=\dfrac{x-3}{2007}+\dfrac{x-4}{2006}\)
c, \(\dfrac{3}{\left(x+2\right)\left(x+5\right)}+\dfrac{5}{\left(x+5\right)\left(x+10\right)}+\dfrac{7}{\left(x+10\right)\left(x+17\right)}\)\(=\dfrac{x}{\left(x+2\right)\left(x+17\right)}\)
d, \(\dfrac{2}{\left(x-1\right)\left(x-3\right)}+\dfrac{5}{\left(x-3\right)\left(x-8\right)}+\dfrac{12}{\left(x-8\right)\left(x-20\right)}-\dfrac{1}{x-20}=\dfrac{-3}{4}\)
Help me!!!!!!!!!!
Can gap lam. Ai lam duoc cau no thi lam nha. Cam on nhieu truoc!!!!!!!!!!!!
a) Tìm tập hợp các số nguyên x, biết rằng4dfrac{5}{9}:2dfrac{5}{18}-7 x left(3dfrac{1}{5}:3,2+4,5.1dfrac{31}{45}right):left(-21dfrac{1}{2}right)b) tìm x, biết left|x+dfrac{1}{2}right|+left|x+dfrac{1}{6}right|+left|x+dfrac{1}{12}right|+left|x+dfrac{1}{20}right|+....+left|x+dfrac{1}{110}right|-11xc)Tính gt biểu thức C2x^3-5y^3+2015 tại x,y thỏa mãn left|x-1right|+left(y+2right)^{20}0
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a) Tìm tập hợp các số nguyên x, biết rằng\(4\dfrac{5}{9}:2\dfrac{5}{18}-7< x< \left(3\dfrac{1}{5}:3,2+4,5.1\dfrac{31}{45}\right):\left(-21\dfrac{1}{2}\right)\)
b) tìm x, biết \(\left|x+\dfrac{1}{2}\right|+\left|x+\dfrac{1}{6}\right|+\left|x+\dfrac{1}{12}\right|+\left|x+\dfrac{1}{20}\right|+....+\left|x+\dfrac{1}{110}\right|-11x\)
c)Tính gt biểu thức \(C=2x^3-5y^3+2015\) tại x,y thỏa mãn \(\left|x-1\right|+\left(y+2\right)^{20}=0\)
1) Tính
Adfrac{1}{13}+dfrac{3}{13.23}+dfrac{3}{23.33}+...+dfrac{3}{2003.2013}
Bleft(dfrac{1}{2}-1right).left(dfrac{1}{3}-1right).left(dfrac{1}{4}-1right)....left(dfrac{1}{2018}-1right)
2) Tìm x biết:
a) x^2-2x-150
b) dfrac{3}{left(x+2right).left(x+5right)}+dfrac{5}{left(x+5right).left(x+10right)}+dfrac{7}{left(x+10right).left(x+17right)}dfrac{x+1}{left(x+2right).left(x+17right)}
3) Cho dfrac{a}{b}dfrac{d}{c} . Chứng minh: dfrac{a^2+d^2}{b^2+c^2}dfrac{ad}{bc}
4) Cho fleft(xright)x^{100}-x...
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1) Tính
\(A=\dfrac{1}{13}+\dfrac{3}{13.23}+\dfrac{3}{23.33}+...+\dfrac{3}{2003.2013}\)
\(B=\left(\dfrac{1}{2}-1\right).\left(\dfrac{1}{3}-1\right).\left(\dfrac{1}{4}-1\right)....\left(\dfrac{1}{2018}-1\right)\)
2) Tìm x biết:
a) \(x^2-2x-15=0\)
b) \(\dfrac{3}{\left(x+2\right).\left(x+5\right)}+\dfrac{5}{\left(x+5\right).\left(x+10\right)}+\dfrac{7}{\left(x+10\right).\left(x+17\right)}=\dfrac{x+1}{\left(x+2\right).\left(x+17\right)}\)
3) Cho \(\dfrac{a}{b}=\dfrac{d}{c}\) . Chứng minh: \(\dfrac{a^2+d^2}{b^2+c^2}=\dfrac{ad}{bc}\)
4) Cho \(f\left(x\right)=x^{100}-x^{99}+...+x^2-x+1\)
\(g\left(x\right)=-x^{101}+x^{100}-x^{99}+...+x^2-x+1\)
Tính giá trị của hiệu \(f\left(x\right)-g\left(x\right)\) tại x=0,1
5) Cho tam giác ABC có \(\widehat{A}=\ge90\) ; \(M\in AB,N\in AC\)
Chứng minh: BC > MN
6) Cho tam giác ABC, M là trung điểm BC, biết \(\widehat{BAM}>\widehat{CAM}\) . So sánh B và C
1.Tìm x, biết.
a, |x| + x dfrac{1}{3}
b, |x+2| x
c, dfrac{2}{left(x-1right)left(x-3right)} + dfrac{5}{left(x-3right)left(x-8right)} + dfrac{12}{left(x-8right)left(x-20right)} - dfrac{1}{x-20} dfrac{-3}{4}
d, dfrac{3}{left(x+2right)left(x+5right)} + dfrac{5}{left(x+5right)left(x+10right)} + dfrac{7}{left(x+10right)left(x+17right)} dfrac{x}{left(x+2right)left(x+17right)}
e, dfrac{x-1}{2009} + dfrac{x-2}{2008} dfrac{x-3}{20007} + dfrac{x-4}{2006}
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1.Tìm x, biết.
a, \(|x|\) + x = \(\dfrac{1}{3}\)
b, \(|x+2|\) = x
c, \(\dfrac{2}{\left(x-1\right)\left(x-3\right)}\) + \(\dfrac{5}{\left(x-3\right)\left(x-8\right)}\) + \(\dfrac{12}{\left(x-8\right)\left(x-20\right)}\) - \(\dfrac{1}{x-20}\) = \(\dfrac{-3}{4}\)
d, \(\dfrac{3}{\left(x+2\right)\left(x+5\right)}\) + \(\dfrac{5}{\left(x+5\right)\left(x+10\right)}\) + \(\dfrac{7}{\left(x+10\right)\left(x+17\right)}\) = \(\dfrac{x}{\left(x+2\right)\left(x+17\right)}\)
e, \(\dfrac{x-1}{2009}\) + \(\dfrac{x-2}{2008}\) = \(\dfrac{x-3}{20007}\) + \(\dfrac{x-4}{2006}\)
Tìm x :
a) dfrac{2x-3}{3}+dfrac{-3}{2}dfrac{5-3x}{6}-dfrac{1}{3}
b) dfrac{2}{3x}-dfrac{3}{12}dfrac{4}{5}-left(dfrac{7}{x}-2right)
c) dfrac{x+2014}{2}+dfrac{2x+4028}{7}dfrac{x+2009}{5}+dfrac{x+2020}{6}
d)dfrac{3}{left(x+2right)left(x+5right)}+dfrac{5}{left(x+5right)left(x+10right)}+dfrac{7}{left(x+10right)left(x+18right)}dfrac{x}{left(x+2right)left(x+17right)}
Help me , bn nào giải đc bài nò thì giải nha !!! ))
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Tìm x :
a) \(\dfrac{2x-3}{3}+\dfrac{-3}{2}=\dfrac{5-3x}{6}-\dfrac{1}{3}\)
b) \(\dfrac{2}{3x}-\dfrac{3}{12}=\dfrac{4}{5}-\left(\dfrac{7}{x}-2\right)\)
c) \(\dfrac{x+2014}{2}+\dfrac{2x+4028}{7}=\dfrac{x+2009}{5}+\dfrac{x+2020}{6}\)
d)\(\dfrac{3}{\left(x+2\right)\left(x+5\right)}+\dfrac{5}{\left(x+5\right)\left(x+10\right)}+\dfrac{7}{\left(x+10\right)\left(x+18\right)}=\dfrac{x}{\left(x+2\right)\left(x+17\right)}\)
Help me , bn nào giải đc bài nò thì giải nha !!! =))
Tìm x:
\(3\left|x+4\right|-\left|2x+1\right|-5\left|x+3\right|+\left|x-9=5\right|\)
\(\left|x-2\right|+\left|x-3\right|+\left|2x-8\right|=9\\ \left|x+2\right|+\left|x+3\right|+\left|x+1\right|=4\\ \left|x+\dfrac{1}{1.5}\right|+\left|x+\dfrac{1}{5.9}\right|+\left|x+\dfrac{1}{9.13}\right|+...+\left|x+\dfrac{1}{397.401}\right|=101x\)