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\(6^x-6^{x-1}=180\)
\(\Rightarrow6^x\cdot1-6^x\cdot6^{-1}=180\)
\(\Rightarrow6^x\cdot\left(1-\dfrac{1}{6}\right)=180\)
\(\Rightarrow6^x\cdot\dfrac{5}{6}=180\)
\(\Rightarrow6^x=180:\dfrac{5}{6}\)
\(\Rightarrow6^x=216\)
\(\Rightarrow6^x=6^3\)
\(\Rightarrow x=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a ) 100-7(x-5)=58
=> 7(x-5)=42
=.> x-5 = 6
=> x=11
180-5(x+1)=30
=> 5(x+1)=150
=> x+1=30\
=> x=29
6x-5=613
=> 6x=618
=> x=103
a) \(100-7\left(x-5\right)=58\)
\(\Leftrightarrow7\left(x-5\right)=42\)
\(\Leftrightarrow x-5=6\)
\(\Leftrightarrow x=11\)
b) \(180-5\left(x+1\right)=30\)
\(\Leftrightarrow5\left(x+1\right)=150\)
\(\Leftrightarrow x+1=30\)
\(\Leftrightarrow x=29\)
c) \(6x-5=613\)
\(\Leftrightarrow6x=618\)
\(\Leftrightarrow x=103\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) (x: 8 - l).2 = 1.14 nên x : 8 - 1 = 7. Do đó x = 64.
b) (2x + 3).30 = 25.6 nên 2x + 3 = 5. Do đó x = 1.
c) 6.(2x - 7) = 9.(x - 3) nên 12x - 42 = 9x - 27.
Do đó 3x = 15. Vậy x = 5.
d) -7.(x + 27) = 6.(x + l) nên -7x - 189 = 6x + 6.
Do đó 13x = -195. Vậy x = -15.
![](https://rs.olm.vn/images/avt/0.png?1311)
Vì `|x|+|x+1|+|x+2|>=0`
`=>6x>=0`
`=>x>=0`
`=>|x|=x,|x+1|=x+1,|x+2|=x+2`
`pt<=>x+x+1+x+2=6x`
`<=>3x+3=6x`
`<=>3=3x`
`<=>x=1(tmđk)`
Vậy `x=1`
![](https://rs.olm.vn/images/avt/0.png?1311)
x + 7 ⋮ x + 1
ta có : x + 7 = x + 1 + 6
nên x + 1 + 6 ⋮ x + 1 và x + 1 ⋮ x + 1
<=> 6 ⋮ x + 1
<=> x + 1 = { 1; 2; 3; 6 }
XÉT CÁC TRƯỜNG HỢP
\(\cdot\) nếu x + 1 = 1 thì suy ra x = 0 (TM)
\(\cdot\) nếu x + 1 = 2 thì suy ra x = 1 (TM)
\(\cdot\) nếu x + 1 = 3 thì suy ra x = 2 (TM)
\(\cdot\) nếu x + 1 = 6 thì suy ra x = 5 (TM)
vậy x = {0; 1; 2; 5}
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
c) (25 - 6x) . 3 - 5 = 7
(25 - 6x) . 3=7+5
(25 - 6x) . 3=12
25 - 6x=12/3
25 - 6x=4
6x=25-4
6x=21
x=21/6
x=3,5
a) (3x - 23) . 14 = 98
(3x - 23)=98/14
3x-23=7
3x=7+23
3x=30
x=30/3
x=10
![](https://rs.olm.vn/images/avt/0.png?1311)
6x+1-6x=180
6x.6-6x=180
6x(6-1)=180
6x.5=180
6x=180:5
6x=36=62
suy ra x=2
6x+1 - 6x = 180
<=> 6x ( 6 - 1 ) = 180
<=> 6x . 5 = 180
<=> 6x = 36
<=> 6x = 62
=> x = 2