a} 218+52- x.2= 148
b} 4.8+19-x=28
c} 413+[x+9]=1994
d} 2 . x+3 .x=375
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a) \(\left(x^2-9\right)\cdot\left(4^x-16\right)=0\)
\(\Rightarrow x^2-9=0\)hoặc \(4^x-16=0\)
\(x^2=9\) \(4^x=16\)
\(x^2=\left(\pm3\right)^2\) \(4^x=4^2\)
\(\Rightarrow x=\pm3\)hoặc \(x=2\)
b) \(5^x+5^{x+2}=650\)
\(\Rightarrow5^x+5^x\cdot25=650\)
\(\Rightarrow5^x\cdot\left(1+25\right)=650\)
\(\Rightarrow5^x\cdot26=650\)
\(\Rightarrow5^x=650\div26=25\)
\(\Rightarrow5^x=5^2\)
\(\Rightarrow x=2\)Vậy \(x=2\)
c) \(2^{x+2}-2^x=96\)
\(2^x\cdot4-2^x=96\)
\(2^x\cdot\left(4-1\right)=96\)
\(2^x\cdot3=96\)
\(2^x=96\div3=32\)
\(2^x=2^5\)Vậy \(x=5\)
a,\(\frac{37.13-13}{24+37.12}=\frac{36.13}{39.12}=1\)
b,125.7.16.25.4=(125.16).(25.4).7=2000.100.7=1400000
c,8.9.14+6.17.12+19.4.18=2^3.3^2.2.7+2.3.17.2^2.3+19.2^2.3^2.2=2^3.3^2.(2.7+17+19)=72.50=3600
a) 128 - 3(x + 4) = 23
3(x + 4) = 128 -23
3(x + 4) = 105
x + 4 = 105 : 3
x + 4 = 35
x = 35 - 4
x = 31
\(a.128-3\left(x+4\right)=23.\)
\(3\left(x+4\right)=128-23\)
\(3\left(x+4\right)=105\)
\(x+4=105:3=35\)
\(x=35-4=31\)
\(b.\left[\left(4x+28\right)\cdot3+55\right]:5=35\)
\(\left(4x+28\right)\cdot3+55=35\cdot5=175\)
\(\left(4x+28\right)\cdot3=175-55=120\)
\(4x+28=120:3=40\)
\(4x=40-28=12\)
\(x=12:4=3\)
a. 2x . 7 = 56
2x = 56 : 7
2x = 8
\(\Rightarrow\)23 = 8
Vậy x = 8
3.x + 2.x + x = 300
x.(3+2+1) = 300
x.6 = 300
x=300 : 6
x = 50
a) \(\left(17x-25\right):8+65=9^2\)
\(\left(17x-25\right).\frac{1}{8}+65=81\)
\(\frac{17}{8}x-\frac{25}{8}=81-65\)
\(\frac{17}{8}x-\frac{25}{8}=16\)
\(\frac{17}{8}x=16+\frac{25}{8}\)
\(\frac{17}{8}x=\frac{128}{8}+\frac{25}{8}\)
\(\frac{17}{8}x=\frac{153}{8}\)
\(x=\frac{153}{8}:\frac{17}{8}\)
\(x=\frac{153}{8}.\frac{8}{17}\)
\(x=\frac{153}{17}\)
\(x=9\)
vay \(x=9\)
b) \(80-\left(4.5^2-3.2^3\right)=2^{10}-\left(x-4\right)\)
\(80-\left(100-24\right)=1024-x+4\)
\(80-76=1028-x\)
\(x=1028-80+76\)
\(x=1024\)
vay \(x=1024\)
a} 218+52- x.2= 148
270 - x.2 = 148
x.2 = 270 - 148= 122
x = 122:2 = 61
b} 4.8+19-x=28
32+19-x=28
51-x= 28
x= 51-28=23
c} 413+(x+9)=1994
x+9 = 1994-413= 1581
x= 1581-9= 1572
d} 2 . x+3 .x=375
x(2+3)= 375
x.5 = 375
x = 375:5= 75
~Học tốt nha~
218 + 52 - x.2 = 148
170 - x . 2 = 148
x . 2 = 170 - 148
x . 2 = 22
x = 22 : 2 = 11
4 . 8 + 19 - x = 28
32 + 19 - x = 28
51 - x = 28
x = 51 - 28
x = 23
413 + (x + 9) = 1994
x + 9 = 1994 - 413
x + 9 = 1581
x = 1581 - 9 = 1572
2 . x + 3 . x = 375
(2 + 3) . x = 375
5 . x = 375
x = 375 : 5 = 77