tim x : (3/5)^5.x=(3/7)^7
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1 / 5 + x = 3 / 7 + 1 / 3
1 / 5 + x = 16 /21
x = 16 / 21 - 1 / 5
x = 59 / 105
x - 1 / 2 = 2 / 3 - 1 / 5
x - 1 / 2 = 7 / 15
x = 7 / 15 + 1 / 2
x = 29 / 30
3 / 5 * x = 2 / 7+ 1 / 4
3 / 5 * x = 15 / 28
x = 15 / 28 : 3 / 5
x = 25 / 28
7 / 8 : x = 1 / 6 * 2 / 3
7 / 8 : x = 1 / 9
x = 7 / 8 : 1 / 9
x = 63 / 8
A) Ta có: \(\frac{\left(x+1\right)x}{2}=16290\)
=> \(\left(x+1\right)x=32580\)
Sau đó tự tìm
b) \(7^{x+3}+7^{x+5}=17150\)
\(7^{2x+8}=17150\)
Tự tính tiếp nhé
- 12.[ x - 5 ] + 7.[ 3 - x ] = 5
=> - 12x + 60 + 21 - 7x = 5
=> ( - 12x - 7x ) + 60 + 21 = 5
=> - 19x + 81 = 5
=> - 19x = 5 - 81
=> - 19x = - 76
=> x = ( - 76 ) : ( - 19 )
=> x = 4
Vậy x = 4
-12(x-5)+7(3-x)=5
<=>(-12x)-(-60)+21-7x=5
<=>(-12x)+60+21-7x=5
<=>(-12x-7x)+81=5
<=>(-19x)=5-81=-76
<=>x=(-76):(-19)
<=>x=4
VẬy x=4
\(\left(\frac{3}{5}.x-\frac{2}{3}.x-x\right).\frac{1}{7}=\frac{-5}{21}\)
\(\Rightarrow x.\left(\frac{3}{5}-\frac{2}{3}-1\right).\frac{1}{7}=\frac{-5}{21}\)
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\(\left(\frac{3}{5}-\frac{2}{3}-1\right)x.\frac{1}{7}=-\frac{5}{21}\)
\(\Rightarrow x.\frac{-16}{15}=-\frac{5}{21}:\frac{1}{7}\)
\(\Rightarrow x.-\frac{16}{15}=-\frac{5}{3}\)
\(\Rightarrow x=-\frac{5}{3}:-\frac{16}{15}\)
\(\Rightarrow x=\frac{25}{16}\)
\(\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{2}{7}:\frac{3}{5}+\frac{9}{10}\)
\(\frac{2}{3}.\frac{5}{x}=\frac{2}{7}.\frac{5}{3}+\frac{9}{10}-\frac{5}{7}\)
\(\frac{10}{3}:x=\frac{10}{21}+\frac{9}{10}-\frac{5}{7}=\frac{100+189-150}{210}=\frac{139}{210}\)
\(x=\frac{700}{139}\)
\(\Leftrightarrow\dfrac{7^x.7^2+7^x.7+7^x}{57}=\dfrac{5^{2x}+5^{2x}.5+5^{2x}.5^3}{131}\)
\(\Leftrightarrow7^x\left(\dfrac{7^2+7+1}{57}\right)=5^{2x}\left(\dfrac{1+5+5^3}{131}\right)\)
\(\Leftrightarrow7^x\dfrac{57}{57}=5^{2x}\dfrac{131}{131}\Leftrightarrow7^x=5^{2x}\Leftrightarrow7^x=25^x\Leftrightarrow x=0\)
\(\left(\dfrac{3}{5}\right)^5.x=\left(\dfrac{3}{7}\right)^7\)
\(x=\left(\dfrac{3}{7}\right)^7:\left(\dfrac{3}{5}\right)^5\)
\(x=\dfrac{3^7}{7^7}\times\dfrac{5^5}{3^5}=\dfrac{3^7.5^5}{7^7.3^5}=\dfrac{9.5^5}{7^7}\)
tick mị nhé