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Bài 1:
ta có 1314<1315
1313<1314
=> dấu cân điền là"<"(1314 -1313 <1315-1314)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(3^x-15=12\\ \Rightarrow3^x=27\\ \Rightarrow x=3\)
\(5^{x-1}-12=13\\ \Rightarrow5^{x-1}=25\\ \Rightarrow x=3\)
\(3^{x-2}.9=81\\ \Rightarrow3^{x-2}=9\\ \Rightarrow x=4\)
\(3^{x+1}:9=3\\ \Rightarrow3^{x+1}=27\\ \Rightarrow x=2\)
\(2.x^3=16\\ \Rightarrow x^3=8\\ \Rightarrow x=2\)
\(75:x^2=3\\ \Rightarrow x^2=25\\ \Rightarrow x=\pm2\)
Câu cuối cộng trừ 5
![](https://rs.olm.vn/images/avt/0.png?1311)
2.
\(\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left(65\cdot111-13\cdot15\cdot37\right)\\ =\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left(65\cdot111-13\cdot5\cdot3\cdot37\right)\\=\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left[65\cdot111-\left(13\cdot5\right)\cdot\left(3\cdot37\right)\right]\\ =\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left[65\cdot111-65\cdot111\right]\\ =\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot0\\ =0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Câu 1 :
\(15^{x+1}=225\)
\(\Rightarrow15^{x+1}=15^2\)
\(\Rightarrow x+1=2\)
\(\Rightarrow x=2-1\)
\(\Rightarrow x=1\)
Vậy x = 1
Câu 2 :
\(13^{x-1}=169\)
\(\Rightarrow13^{x-1}=13^2\)
\(\Rightarrow x-1=2\)
\(\Rightarrow x=2+1\)
\(\Rightarrow x=3\)
Vậy x = 3
_Chúc bạn học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
A = (12+22+32+...+20142)x(65x111-13x3x5x37)
A = (12+22+32+...+20142)x(65x111-65x111)
A = (12+22+32+...+20142)x0
A = 0
![](https://rs.olm.vn/images/avt/0.png?1311)
x=1,2,0