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![](https://rs.olm.vn/images/avt/0.png?1311)
\(4^x+4^{x+3}=4160\)
\(\Leftrightarrow4^x.\left(1+4^3\right)=4160\)
\(\Leftrightarrow4^x.65=4160\)
\(\Leftrightarrow4^x=4160:65=64\)
\(\Rightarrow x=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài dễ mà you ko tự suy nghĩ được, đúng là lười suy nghĩ
a) 2561=(52)61=52.61=5122
Vì 122>120 nên 5122>5120 hay 2561>5120
b) 1680 = (42)80= 42.80=4160
Vì 160>65 nên 4160>465 hay 1680>465
Mấy câu khác tự làm
![](https://rs.olm.vn/images/avt/0.png?1311)
4x+4x+3=4160
=>4x+4x.43=4160
=>4x(1+64)=4160
=>65.4x=4160
=>4x=64
=>x=3
Vậy x=3
\(4^x+4^{x+3}=4160\)
\(\Rightarrow4^x+4^x.4^3=4160\)
\(\Rightarrow4^x.\left(1+4^3\right)=4160\)
\(\Rightarrow4^x.65=4160\)
\(\Rightarrow4^x=64\)
\(\Rightarrow x=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
4^x*1+4^x*4^3=4160
4^x*1+4^x*64=4160
4^x*{1+64}=4160
4^x*65=4160
4^x=4160:65
4^x=64
4^x=4^3
x=3
![](https://rs.olm.vn/images/avt/0.png?1311)
\(4^x+4^{x+3}=4160\)
\(4^x\times\left(1+4^3\right)=4160\)
\(4^x\times\left(1+64\right)=4160\)
\(4^x\times65=4160\)
\(4^x=\frac{4160}{65}\)
\(4^x=64\)
\(4^x=4^3\)
\(x=3\)
\(4^x+4^{x+3}=4160\)
\(\Rightarrow4^x+4^x.4^3=4160\)
\(\Rightarrow4^x.\left(1+4^3\right)=4160\)
\(\Rightarrow4^x.65=4160\)
\(\Rightarrow4^x=64\)
\(\Rightarrow4^x=4^3\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(4^{x+3}+4^x=4160\)
\(\Rightarrow4^x.4^3+4^x=4160\)
\(\Rightarrow4^x.\left(4^3+1\right)=4160\)
\(\Rightarrow4^x.65=4160\)
\(\Rightarrow4^x=4160:65\)
\(\Rightarrow4^x=64\)
\(\Rightarrow4^x=4^3\)
\(\Rightarrow x=3\)
\(4^{x+3}+4^x=4160\)
\(\left(4^x\cdot4^3\right)+4^x=4160\)
\(4^x\cdot\left(4^3+1\right)=4160\)
\(4^x\cdot\left(64+1\right)=4160\)
\(4^x\cdot65=4160\)
\(4^x=4160:65\)
\(4^x=64\)
\(\Rightarrow4^x=4^3\)
\(\Rightarrow x=3\)
Thưa toàn thể quý vị, chào mừng các bạn đến đây
![](https://rs.olm.vn/images/avt/0.png?1311)
4x+4x+3=4160
\(\Rightarrow\)4x+4x.43=4160
\(\Rightarrow\)4x.(1+43)=4160
\(\Rightarrow\)4x.65=4160
\(\Rightarrow\)4x=4160:65
\(\Rightarrow\)4x=64
\(\Rightarrow\)4x=43
\(\Rightarrow\)x=3