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a) \(2.5^2.3^2+\left\{\left[2.5^3-\left(5x+4\right).5\right]:\left(2^2.3.5\right)\right\}=453\)
\(2.25.9+\left\{\left[2.125-\left(5x+4\right).5\right]:\left(4.3.5\right)\right\}=453\)
\(50.9+\left\{\left[250-\left(5x+4\right).5\right]:60\right\}=453\)
\(450+\left\{\left[250-\left(5x+4\right).5\right]:60\right\}=453\)
\(\left[250-\left(5x+4\right).5\right]:60=453-450\)
\(\left[250-\left(5x+4\right).5\right]:60=3\)
\(250-\left(5x+4\right).5=3.60\)
\(250-\left(5x+4\right).5=180\)
\(\left(5x+4\right).5=250-180\)
\(\left(5x+4\right).5=70\)
\(5x+4=70:5\)
\(5x+4=14\)
\(5x=14-4\)
\(5x=10\)
\(x=10:5\)
\(x=2\)
Vậy \(x=2\)
b) \(\left|x-\frac{1}{3}\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{1}{3}=-2\\x-\frac{1}{3}=2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\left(-2\right)+\frac{1}{3}\\x=2+\frac{1}{3}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-5}{3}\\x=\frac{7}{3}\end{cases}}\)
Vậy \(x\in\left\{\frac{-5}{7};\frac{7}{3}\right\}\)
a. 3.5x-100=74
3.5x = 74 + 100 = 74 + 1 = 75
5x = 75 : 3 = 25 = 52
\(\Rightarrow\)x = 2
b. 232-(3x+2)5=23.52
( 3x + 2 )5 = 232 - 200 = 32 = 25
\(\Rightarrow\)3x + 2 = 2
3x = 0
\(\Rightarrow\)x = 0
\(a.3.5^x-10^0=74\)
\(\Rightarrow3.5^x=75\)
\(\Rightarrow5^x=25\)
\(\Rightarrow x=2\)
Câu còn lại tương tự
87 _(321_x ) ÷ 5 = 75
(321 _ x ) ÷ 5 = 87_75
(321 _ x ) ÷5 = 12
(321 _ x) = 12 ×5
321 _ x = 60
X = 321_60
X = 261
2)( 5x _24) × 73 = 2 × 74
(5x _ 24 ) = 2×74÷73
( 5x _ 16) = 2×7
5x _ 16 = 14
5x = 14+ 16
5x = 30
X = 30÷5
X = 6
3)93 + 3×(x_5) = 3×52
93+ 3× ( x _ 5) = 75
3×( x _ 5) = 75_93
3×(x _ 5 ) = _18
(X _ 5) = _18 ÷ 3
X _ 5 = _6
X = _6 + 5
X = _1
Tớ chưa kịp làm tối về giải sau
2 4 . x - 3 . 5 . x = 5 2 - 2 4
16 . x - 15 . x = 9
x ( 16 - 15 ) = 9
x . 1 = 9
x = 9
a. \(3.5^2+15.2^2-26:2\)
\(=3.25+15.4-26:2\)
\(=75+60-13\)
\(=122\)
b. \(5^3.2-100:4+2^3.5\)
\(=125.2-100:4+8.5\)
\(=250-25+40\)
\(=265\)
c. \(6^2:9+50.2-3^3.3\)
\(=36:9+50.2-27.3\)
\(=4+100-81\)
\(=23\)
d. \(3^2.5+2^3.10-81:3\)
\(=9.5+8.10-81:3\)
\(=45+80-27\)
\(=98\)
e. \(5^{13}:5^{10}-25.2^2\)
\(=5^3-25.4\)
\(=125-100\)
\(=25\)
f. \(20:2^2+5^9:5^8\)
\(=20:4+5\)
\(=5+5=10\)
=>(x+5).8-4.5=4.3.5
=>(x+5).8-20=60
=>(x+5).8=80
=>x+5=10
=>x=5
tick nhá
( x + 5 ). 23 - 22 . 5 = 22.3.5
( x + 5 ). 8 - 4 . 5 = 4.3.5
( x + 5 ). 8 - 4 . 5 =60
( x + 5 ). 8 - 460:5
( x + 5 ). 8 - 4=12
( x + 5 ). 8=12+4
( x + 5 ). 8=16
x + 5=16:8
x + 5=2
x=5+2
x=7