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Mình làm 5 câu thôi nhé !:
1) \(7^x\cdot49=7^{90}\)
\(\Rightarrow7^x\cdot7^2=7^{90}\)
\(\Rightarrow7^{x+2}=7^{90}\)
\(\Rightarrow x=90-2\)
\(\Rightarrow x=88\)
2) \(2^x\cdot4=128\)
\(\Rightarrow2^x\cdot2^2=2^7\)
\(\Rightarrow2^{x+2}=2^7\)
\(\Rightarrow x=7-2\)
\(\Rightarrow x=5\)
3) \(3^x-1=2^4\cdot5\)
\(\Rightarrow3^x=80+1\)
\(\Rightarrow3^x=81\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
4) \(3^x+15=42\)
\(\Rightarrow3^x=42-15\)
\(\Rightarrow3^x=27\)
\(\Rightarrow3^x=3^3\)
\(\Rightarrow x=3\)
5) \(4\cdot2^x-3=125\)
\(\Rightarrow2^2\cdot2^x=128\)
\(\Rightarrow2^{x+2}=2^7\)
\(\Rightarrow x=7-2\)
\(\Rightarrow x=5\)
6)
\(5^x=5^{15}:5^3\\ \Leftrightarrow5^x=5^{15-3}\\ \Leftrightarrow5^x=5^{12}\\ \Leftrightarrow x=12\)
7)
\(4^x=4^{15}:16\\ \Leftrightarrow4^x=4^{15}:4^2\\ \Leftrightarrow4^x=4^{15-2}\\ 4^x=4^{13}\\ \Leftrightarrow x=13\)
8)
\(7^x=7^{20}:7^{10}\\ \Leftrightarrow7^x=7^{20-10}\\ \Leftrightarrow7^x=7^{10}\\ \Leftrightarrow x=10\)
9)
\(11^x=11^{11}:11\\ \Leftrightarrow11^x=11^{11-1}\\ \Leftrightarrow11^x=11^{10}\\ \Leftrightarrow x=10\)
10)
\(3^{15}.3^x=3^{30}\\ \Leftrightarrow3^x=3^{30}:3^{15}\\ 3^x=3^{30-15}\\ \Leftrightarrow3^x=3^{15}\\ \Leftrightarrow x=15\)
![](https://rs.olm.vn/images/avt/0.png?1311)
(13+49)-(13-135+49)
= 13 + 49 - 13 +135 - 49
=135
(18+29)+(158-18-29)
=18+29+158-18-29
=158
4.52-3.(24-9)
= 4.25-3.24-9
=19
[93-(20-7)]:16
=93-20+7:16
=73,4375
\(\left(13+49\right)-\left(13-135+49\right)\)
\(=13+49-13+135-49\)
\(=135\)
\(\left(18+29\right)+\left(158-18-29\right)\)
\(=18+29+158-18-29\)
\(=158\)
\(4.5^2-3.\left(24-9\right)\)
\(=4.25-3.24+3.9\)
\(=100-72+27\)
\(=28+27\)
\(=55\)
\(\left\{93-\left(20-7\right)\right\}:16\)
\(=\left(93-20+7\right):16\)
\(=\left(73+7\right):16\)
\(=80:16\)
\(=5\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2:
a: =>x-45=-20
hay x=25
b: =>35+30-5x=-12+112
=>65-5x=100
=>5x=-35
hay x=-7
c: =>x-124=1000
hay x=1124
d: \(\Leftrightarrow46-\left(3x-2\right)^3=-18\)
\(\Leftrightarrow\left(3x-2\right)^3=64\)
=>3x-2=4
hay x=2
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2:
a: =>x-45=-20
hay x=25
b: =>35+30-5x=-12+112=100
=>65-5x=100
=>5x=-35
hay x=-7
c: =>x-124=1000
hay x=1124
d: \(\Leftrightarrow46-\left(3x-2\right)^3=-18\)
\(\Leftrightarrow\left(3x-2\right)^3=64\)
=>3x-2=4
hay x=2
![](https://rs.olm.vn/images/avt/0.png?1311)
a)(13+49)-(13-135+49)
=13+49-13+135-49
=13-13+49-49+135
=0+0+135
=135
b)(18+29)+(158-18-29)
=18+29+158-18-29
=18-18+29-29+158
=0+0+158
=158
c)4 .52-3 .(24-9)
=4. 52- (3.24-3.9)
=4. 52-3.24+3.9
=4.25-72+27
=100-72+27
=28+27
=55
d)[93-(20-7)]:16
=(93-20+7):16
=80:16
=5
chúc cậu hok tốt
a) (13 + 49) - (13 - 135 + 49)
= 13 + 49 - 13 + 135 - 49
= (13 - 13) + (49 - 49) + 135
= 0 + 0 + 135
= 135
b) (18 + 29) + (158 - 18 - 29)
= 18 + 29 + 158 - 18 - 29
= (18 - 18) + (29 - 29) + 158
= 0 + 0 + 158
= 158
c) 4.52 -3.(24 - 9)
= 4.25 - 3.15
= 100 - 45
= 55
d) [93 - (20 - 7)] : 16
= [93 - 13] : 16
= 80 : 16
= 5
29-(3x+49)=-(45-20)
29-(3x+49)=-25
3x+49=29-(-25)
3x=54-49
3x=5
x=5/3
29-(3x+49)=-(25)
(3x+49)=29+25
(3x+49)=54
3x=54-49
3x=5
x=5:3
x=5/3