(x-5)^4=(x-5)^6
25<5^n<125
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3 x 4 = 12 3 x 5 = 15
4 x 7 = 28 5 x 4 = 20
15 : 3 = 5 24 : 4 = 6
5 x 6 = 30 5 x 9 = 45
25 : 5 = 5
3 × 4 = 12 3 × 5 = 15
4 × 7 = 28 5 × 4 = 20
15 ∶ 3 = 5 24 ∶ 4 = 6
5 × 6 = 30 5 × 9 = 45
× 25 ∶ 5 = 5
\(a.\dfrac{12+x}{42}=\dfrac{35}{42}\Leftrightarrow12+x=35\Leftrightarrow x=23\)
\(b.\dfrac{25-x}{40}=\dfrac{3}{8}\Leftrightarrow\dfrac{25-x}{40}=\dfrac{15}{40}\Leftrightarrow25-x=15\Leftrightarrow x=10\)
\(c.\dfrac{13+x}{20}=\dfrac{3}{4}\Leftrightarrow\dfrac{13+x}{20}=\dfrac{15}{20}\Leftrightarrow13+x=15\Leftrightarrow x=2\)
\(d.\dfrac{23-x}{25}=\dfrac{20}{25}\Leftrightarrow23-x=20\Leftrightarrow x=3\)
1: Ta có: 7x+6(3-x)=27-20+73
\(\Leftrightarrow7x+18-6x=80\)
\(\Leftrightarrow x=80-18=62\)
Vậy: x=62
2: Ta có: \(6x-5\left(x-7\right)=\left(27-514\right)-486-73\)
\(\Leftrightarrow6x-5x+35=27-514-486-73\)
\(\Leftrightarrow x+35=-1046\)
\(\Leftrightarrow x=-1081\)
Vậy: x=-1081
\(x\) \(\times\) \(\dfrac{4}{5}\) = 15
\(x\) = 15 : \(\dfrac{4}{5}\)
\(x\) = \(\dfrac{75}{4}\)
\(\dfrac{12}{25}\) \(\times\) \(x\) = \(\dfrac{4}{10}\)
\(x\) = \(\dfrac{4}{10}\) : \(\dfrac{12}{25}\)
\(x\) = \(\dfrac{5}{6}\)
\(\dfrac{37\cdot5^4}{25^2}=\dfrac{37\cdot5^4}{5^4}=37\\ \dfrac{2^4\cdot2^6\cdot3^8\cdot9^2}{4^4\cdot3^{11}}=\dfrac{2^{10}\cdot3^8\cdot3^4}{2^8\cdot3^{11}}=2^2\cdot3=12\\ \dfrac{3\cdot9^4\cdot9^3}{3^2\cdot9}=\dfrac{3\cdot3^8\cdot3^6}{3^2\cdot3^2}=3^{11}\\ \dfrac{125\cdot5\cdot64-25^3\cdot10\cdot4}{5^7\cdot8}=\dfrac{5^3\cdot5\cdot2^6-5^6\cdot2\cdot5\cdot2^2}{5^7\cdot2^3}=\dfrac{5^4\cdot2^3\left(2^3-5^3\right)}{5^7\cdot2^3}=\dfrac{8-125}{5^3}=\dfrac{-117}{125}\)
= 25 * 5 + 15 * 5 + 60 * 5 *1 ( tớ viết dấu sao thay dấu nhân )
=5*(25+ 15 + 60+ 1)
=5* 100
=500
428 x 12 - 428 x 2
= 428 x (12 - 2)
= 4280
Chỉ biết 2 câu đầu hoi
Chúc em học tốt tick cho chị nha
995 x 5 + 4 x 5 + 5
= 995 x 5 + 4 x 5 + 5 x 1
= ( 995 + 4 + 1 ) x 5
= 1000 x 5
= 5000
655 x 6 - 355 x 6
= ( 655 - 355 ) x 6
= 300 x 6
= 1800
25 x 5 + 15 x 5 + 60 x 5
= ( 25 + 15 + 60 ) x 5
= 100 x 5
= 500
428 x 97 + 428 x 2 + 428
= 428 x 97 + 428 x 2 + 428 x 1
= 428 x ( 97 + 2 + 1 )
= 428 x 100
= 42800
7 x 8 = 56 16 : 2 = 8 36 : 6 = 6 49 : 7 = 7
2 x 5 = 10 72 : 8 = 9 9 x 3 = 27 63 : 7 = 9
6 x 4 = 24 25 : 5 = 5 4 x 8 = 32 7 x 5 = 35
7 x 8 = 56
2 x 5 = 10
6 x 4 = 24
16 : 2 = 8
72 : 8 = 9
25 : 5 = 5
36 : 6 = 6
9 x 3 = 27
4 x 8 = 32
49 : 7 = 7
63 : 7 = 9
7 x 5 = 35
\(\left(x-5\right)^4=\left(x-5\right)^6\)
=> \(\left(x-5\right)^6-\left(x-5\right)^4=0\)
=> \(\left(x-5\right)^4.\left[\left(x-5\right)^2-1\right]=0\)
=>\(\left[{}\begin{matrix}\left(x-5\right)^4=0\\\left(x-5\right)^2-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x-5=0\\\left(x-5\right)^2=1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x-5=0\\x-5=1\\x-5=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\x=6\\x=4\end{matrix}\right.\)
Vậy \(x\in\left\{4;5;6\right\}\)
\(25< 5^n< 125\)
Sai đề:
Sửa đề \(25\le5^n\le125\)
\(n\in2;3\)
Vậy \(25\le5^2;5^3\le125\)