\(6^{5x+2}=36^{3x-4}\)
\(\Rightarrow6^{5x+2}=6^{2.\left(3x-4\right)}\)
\(\Rightarrow5x+2=2\left(3x-4\right)\)
\(\Rightarrow5x+2=6x-8\)
\(\Rightarrow-x=-10\)
\(\Rightarrow x=10\)
Vậy x = 10
\(6^{5x+2}=36^{3x-4}\)
\(6^{5x+2}=6^{2.\left(3x-4\right)}\)
\(\Rightarrow5x+2=6x-8\)
\(2+8=6x-5x\Leftrightarrow x=10\)
Chúc bạn học tốt!!!
\(6^{5x+2}=36^{3x-4}\)
\(\Leftrightarrow6^{5x+2}=\left(6^2\right)^{3x-4}\)\(\Leftrightarrow6^{5x+2}=6^{2\left(3x-4\right)}\)
\(\Leftrightarrow6^{5x+2}=6^{6x-8}\)\(\Leftrightarrow5x+2=6x-8\)
\(\Leftrightarrow5x-6x=-2-8\)
\(\Leftrightarrow-x=-10\Leftrightarrow x=10\)
Vậy \(x=10\)
Bài làm
Ta thấy : \(6^2\)= 36
Vậy 5x + 2 = 3x - 4
Trong đó 5x + 2 phải lớn hơn 3x - 4 là 2 đơn vị . Vì \(6^2\)= 36
Ta có : 5x + 2 + 2 = 3x - 4
3x + 2x + 4 = 3x + 4 - 8
2x = -8
x = -8 : 2
x = -4
65x+2=363x-4
65x+2=(62)3x-4
65x+2=66x-8
=> 5x+2=6x-8
6x-5x=8+2
x=10
Vậy x=10
nhớ tk cho mk nha!
