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c) 10 . {[(x : 3 + 17) : 10 + 3 . 2^2] : 10} = 5
[(x : 3 + 17) : 10 + 3 . 4] : 10 = 5 : 10
[(x : 3 + 17) : 10 + 12] : 10 = 1/2
(x : 3 + 17) : 10 + 12 = 1/2 . 10
(x : 3 + 17) : 10 + 12 = 5
(x : 3 + 17) : 10 = 5 - 12
(x : 3 + 17) : 10 = -7
=> x : 3 + 17 = -7 . 10
x : 3 + 17 = -70
x : 3 = -70 - 17
x : 3 = -87
x = -87 . 3
x = -261
a ) \(\left(4x+5\right):3-121:1=4\)
\(\Leftrightarrow\left(4x+5\right):3-11=4\)
\(\Leftrightarrow\left(4x+5\right):3=15\)
\(\Leftrightarrow\left(4x+5\right)=45\)
\(\Leftrightarrow4x=40\)
\(\Leftrightarrow x=10\)
Tiếp tịch như z là đc


a) Xét:
5121 có chữ số tận cùng là 5. Đặt 5121 = \(\overline{A5}\)
3515 có chữ số tận cùng là 5. Đặt 3515 = \(\overline{B5}\)
Do đó \(5^{121}-35^{15}=\overline{A5}-\overline{B5}=\overline{C0}⋮10\left(đpcm\right)\)
b) Ta có:
\(\left(13-12\right)^{2015}=1^{2015}=1\)
\(5^{17}.5^{14}:5^{31}=5^0=1\)
Vậy \(\left(13-12\right)^{2015}=5^{17}.5^{14}:5^{31}\)
c) \(9+5x=4^7:4^3-3^4\)
\(\Leftrightarrow9+5x=4^4-3^4\)
\(\Leftrightarrow9+5x=256-81\)
\(\Leftrightarrow9+5x=175\)
\(\Leftrightarrow5x=175-9=166\)
\(\Rightarrow x=166:5=33\dfrac{1}{5}\)

\(121-5.\left(60-5x\right)=21^{10}:\left(21^6.21^3\right)\)
\(121-5.\left(60-5x\right)=21^{10}:21^9\)
\(121-5.\left(60-5x\right)=21\)
\(5.\left(60-5x\right)=121-21\)
\(5.\left(60-5x\right)=100\)
\(60-5x=100:5\)
\(60-5x=20\)
\(5x=60-20\)
\(5x=20\)
\(\Rightarrow x=4\)
\(121-5.\left(60-5x\right)=21^{10}:\left(21^6.21^3\right)\)
\(121-300+25x=21^{10}:21^{11}\)
\(25x-179=\frac{1}{21}\)
\(25x=\frac{1}{21}+179\)
\(25x=\frac{3760}{21}\)
\(x=\frac{3760}{21}:25\)
\(x=\frac{752}{105}\)
vay \(x=\frac{752}{105}\)

a) \(2^2.3^{3x}-27^x=9^5\)
\(4.3^{3x}-\left(3^3\right)^x=\left(3^2\right)^5\)
\(4.3^{3x}-3^{3x}=3^{10}\)
\(3^{3x}\left(4-1\right)=3^{10}\)
\(3^{3x}.3=3^{10}\)
\(3^{3x+1}=3^{10}\)
3x + 1 = 10
3x = 9
x = 3.
b. \(5.3^x=135\)
\(3^x=27\)
\(3^x=3^3\)
x = 3.
c. \(5^x.5^4=5^{20}\)
\(5^{x+4}=5^{20}\)
x + 4 = 20
x = 16

a: \(\Leftrightarrow\left[\left(3x+14\right):4-3\right]:2=1\)
=>(3x+14):4-3=2
=>(3x+14):4=5
=>3x+14=20
=>3x=6
hay x=2
b: \(\Leftrightarrow\left[\left(x:4+17\right):10+3\cdot16\right]:10=5\)
\(\Leftrightarrow\left(x:4+17\right):10=50-48=2\)
=>x:4+17=20
=>x:4=3
hay x=12
c: \(\Leftrightarrow2\cdot15^2+\left[2\cdot125-\left(2x+4\right)\cdot5\right]:19=453\)
\(\Leftrightarrow250-\left(2x+4\right)\cdot5=\left(453-450\right)\cdot19=57\)
=>5(2x+4)=197
=>2x+4=197/5
=>2x=177/5
hay x=177/10
d: \(\Leftrightarrow\left(19x+50\right):14=5^2-4^2=9\)
=>19x+50=126
=>19x=76
hay x=4
e: \(\Leftrightarrow2\cdot3^x=10\cdot3^{12}+8\cdot3^{12}=18\cdot3^{12}\)
\(\Leftrightarrow3^x=3^2\cdot3^{12}=3^{14}\)
hay x=14
f: \(\Leftrightarrow3\left(x+2\right):7=30\)
=>3(x+2)=210
=>x+2=70
hay x=68
g: \(2480-1570+200-x+5=1010\)
=>1115-x=1010
hay x=105

a. \(4^{x+5}=32^{40}\)
\(\left(2^2\right)^{x+5}=\left(2^5\right)^{40}\)
\(2^{2x+10}=2^{200}\)
\(2x+10=200\)
2x = 190
x = 95.
b. \(3^{6-3x}=81^3\)
\(3^{6-3x}=\left(3^4\right)^3\)
6 - 3x = 12
3x = 6 - 12
3x = -6
x = -2
c. \(4^{x+3}-3.4^{x+7}=13.4^{11}\)
\(4^{x+3}.1-3.4^{x+3}.4^4=13.4^{11}\)
\(4^{x+3}\left(1-3.4^4\right)=13.4^{11}\)
Bài này sai đề rồi em.
d. \(5.3^{x+6}=2.3^5+3.3^5\)
\(5.3^{x+6}=3^5\left(2+3\right)\)
\(5.3^{x+6}=3^5.5\)
\(3^{x+6}=3^5\)
x + 6 = 5
x = 5 - 6
x = -1.
a) \(4^{x+5}=32^{40}\)
\(\Rightarrow\left(2^2\right)^{x+5}=\left(2^5\right)^{40}\)
\(\Rightarrow2^{2x+10}=2^{200}\)
\(\Rightarrow2x+10=200\)
\(\Rightarrow2x=200-10=190\)
\(\Rightarrow x=190:2=95\)
b) \(3^{6-3x}=81^3\)
\(\Rightarrow3^{6-3x}=\left(3^4\right)^3\)
\(\Rightarrow3^{6-3x}=3^{12}\)
\(\Rightarrow6-3x=12\)
\(\Rightarrow3x=6-12=-6\)
\(\Rightarrow x=\left(-6\right):3=-2\)
c) \(4^{x+3}-3.4^{x+7}=13.4^{11}\)
Sai đề nha
d) \(5.3^{x+6}=2.3^5+3.3^5\)
\(\Rightarrow5.3^{x+6}=\left(2+3\right).3^5\)
\(\Rightarrow5.3^{x+6}=5.3^5\)
\(\Rightarrow x+6=5\)
\(\Rightarrow x=5-6=-1\)
Chúc em học tốt nhé!

a) 42 . 121 - 42 . 22 + 42
= 42 . 121 - 42 . 22 + 42 . 1
= 42 . ( 121 - 22 + 1 )
= 42 . 100
= 16 . 100
= 1600
b) 600 - 400 : [ 118 . 2 - ( 50 . 3 - 9 . 16 )2 ]
= 600 - 400 : [ 118 . 2 - ( 150 - 144 )2 ]
= 600 - 400 : ( 118 . 2 - 62 )
= 600 - 400 : ( 236 - 36 )
= 600 - 400 : 200
= 600 - 2
= 598
c) |- 15 + 10|+|( - 48 ) + ( - 22 )|+ ( - 100 )
= |- 5|+|- 70|+ ( - 100 )
= 5 + 70 + ( - 100 )
= 75 + ( - 100 )
= - 25
d) 52 - ( - 8 ) -|- 17|
= 25 - ( - 8 ) - 17
= 25 + 8 - 17
= 33 - 17
= 16
Tick cho mình nhé!!!
Chúc bạn học tốt!!!
\(a/5.3^{x+3}-14=121\\ \Rightarrow5.3^{x+3}=135\\ \Rightarrow3^{x+3}=135:5=27\\ \Rightarrow3^{x+3}=3^3\\ \Rightarrow x+3=3\\ \Rightarrow x=0\)
\(b/4^x=4.4^{10}-3.4^{10}\\ \Rightarrow4^x=\left(4-3\right).4^{10}\\ \Rightarrow4^x=4^{10}\\ \Rightarrow x=10\)
\(5\cdot3^{x+3}-14=121\)
=>\(5\cdot3^{x+3}=121+14=135\)
=>\(3^{x+3}=\dfrac{135}{5}=27=3^3\)
=>x+3=3
=>x=0
\(4^x=4\cdot4^{10}-3\cdot4^{10}\)
=>\(4^x=4^{10}\left(4-3\right)=4^{10}\)
=>x=10