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Giải:
a) \(70-5\left(x-3\right)=45\)
\(5\left(x-3\right)=70-45\)
\(5\left(x-3\right)=25\)
\(x-3=25:5\)
\(x-3=5\)
\(x=5+3\)
\(x=8\)
70 - 5 ( x - 3 ) = 45
5 ( x - 3 ) = 70 - 45
5 ( x - 3 ) = 25
x - 3 = 25 : 5
x - 3 = 5
=> x = 8
10 + 2 . x = 45 : 43
10 + 2 . x = 42
10 + 2 . x = 16
2 . x = 16 + 10
2 . x = 26
=> x = 13
231 - ( x - 6 ) = 1339 : 13
231 - ( x - 6 ) = 103
x - 6 = 231 - 103
x - 6 = 128
=> x = 134
2 . x - 138 = 23 . 32
2 . x - 138 = 72
2 . x = 72 + 138
2 . x = 210
=> x = 105
a) 38.52+38.49+76.13
=38.25+38.49+76.13
=[(25+49).38]+(76.13)
= tự tính
\(x^6:x^3=125\)
\(x^3=125\)
\(x^3=5^3\)
\(\Rightarrow x=5\)
b, \(3.2^x-3=45\)
\(3.2^x=45+3\)
\(3.2^x=48\)
\(2^x=48:3\)
\(2^x=16\)
\(2^x=2^4\)
\(\Rightarrow x=4\)
c, \(1500:\left[\left(30+40\right):x\right]=30\)
\(1500:\left[70:x\right]=30\)
\(70:x=1500:30\)
\(70:x=50\)
\(x=70:50\)
\(x=\frac{70}{50}\)
\(x=\frac{7}{5}\)
d, \(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(720:\left[41-\left(2x-5\right)\right]=8.5\)
\(720:\left[41-\left(2x-5\right)\right]=40\)
\(41-\left(2x-5\right)=720:40\)
\(41-\left(2x-5\right)=18\)
\(2x-5=41-18\)
\(2x-5=23\)
\(2x=23+5\)
\(2x=28\)
\(x=28:2\)
\(x=14\)
bạn thử lại nhé
Ta có x20=x1
=> x=0 hoặc x=1
x6:x3=x6-3=x3=125
=>x3=53
=> x=5
Ta có
4x3+12=120
=>4x3=108
=>x3=27
=>x=3
Ta có
3.2x-3=45
=>3(2x-1)=45
=>2x-1=15
=>2x=16
=> x=2 hoặc x=-2
Ta có 1500:[(30+40):x]=30
=>70:x=50
=> x=7/5
Ta có
720:[41-(2x-5)]=23.5
=>41-(2x-5)=720:40=18
=> 2x-5=23
=>x=(23+5):2=14
KL
\(\left(19x+2.5^2\right):14=\left(13-8\right)^2-4^2\)
<=> \(\left(19x+50\right):14=25-16\)
<=> \(\left(19x+50\right):14=9\)
<=> \(19x+50=126\)
<=> \(19x=76\)
<=> \(x=4\)
câu B làm j có \(x\)để tìm
\(390-\left(x-7\right)=169:13\)
<=> \(390-x+7=13\)
<=> \(390-x=6\)
<=> \(x=384\)
\(x-6:2-\left(48:24\right):2:6-3=0\)
<=> \(x-3-2:2:6=3\)
<=> \(x-3-\frac{1}{6}=3\)
<=> \(x=\frac{37}{6}\)
\(x+5.2-\left(32+16.3:6-15\right)=0\)
<=> \(x+10-25=0\)
<=> \(x=15\)
a) (x-3)100-1=0
\(\Leftrightarrow\left(x-3\right)^{100}=0+1=1\)
\(\Leftrightarrow\left(x-3\right)^{100}=1^{100}=\left(-1\right)^{100}\)
\(\Rightarrow\left[{}\begin{matrix}x-3=1\\x-3=-1\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1+3=4\\x=\left(-1\right)+3=2\end{matrix}\right.\)
Vậy: x\(\in\left\{4;2\right\}\)
b) (9-5x)2019+1=0
\(\Leftrightarrow\left(9-5x\right)^{2019}=0-1=-1=\left(-1\right)^{2019}\)
\(\Rightarrow9-5x=-1\)
\(\Leftrightarrow5x=9-\left(-1\right)=10\)
\(\Leftrightarrow x=10:5=2\)
Vậy: x=2
Bài 4: Viết các tích sau đây dưới dạng 1 lũy thừa của 1 số
A = 82.324 = ( 23 )2 . ( 25 )4 = 26 . 220 = 226
B = 273.94.243 = ( 33 )3 . ( 32 )4 . 35 = 39 . 38 . 35 = 322
C = 410.815 = ( 22 )10 . ( 23 )15 = 220 . 245 = 265
D = 415.530 = ( 22 )15 . 530 = 230 . 530 = ( 2 . 5 )30 = 1030
E = 2716 : 910 = ( 33 )16 . ( 32 )10 = 348 . 320 = 368
F = 25.84 = 25 . ( 23)4 = 25 . 212= 217
g = 256.1253 = ( 52 )6 . ( 53 )3 = 512 . 59 = 521
H = 123.33 = ( 12.3 )3 = 363
\(3^3=27;3^6=729\)
\(\left(8X-12\right):4=729:27\)
\(\left(8X-12\right):4=27\)
\(8X-12=27.4\)
\(8X-12=108\)
\(8X=108+12\)
\(8X=120\)
\(X=120:8\)
\(X=15\)
-[(8x - 12):4] .33=36
[(8x - 12):4] = 36:33
[(8x - 12):4] = 33
(8x - 12):4 = 27
8x - 12 = 27 x 4
8x - 12 = 108
8x = 108 + 12
8x = 120
x = 120 : 8
x = 15
-4x3+15=47
4x3 = 47-15
4x3 = 32
x3 = 32:4
x3 = 8
x = 2
-4.2x-3=125
4.2x = 125 + 3
4.2x = 128
2x = 128:4
2x = 32
x = 32:2
x = 16