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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
1) (x+2)2=36
(x+2)2=62
=>x+2=6 hoặc x+2=-6
x=6-2 hoặc x=-6-2
x=4 hoặc x=-8
2)\(\left(\frac{3}{4}\right)^x=\frac{2^8}{3^4}\)
\(\left(\frac{3}{4}\right)^x:\frac{2^8}{3^4}=0\)
\(\left(\frac{3}{4}\right)^x.\frac{3^4}{2^8}=0\)
không có giá trị x nào thỏa mãn vì \(\left(\frac{3}{4}\right)^x>0;\frac{3^4}{2^8}>0\)
5(x-2)(x+3)=1
5(x-5)(x+3)=50
=>(x-2)(x+3)=0
=>x-2=0 hoặc x+3=0
x=2 hoặc x=-3
(x-2)8=(x-2)6
vì 8 là mũ chẵn nên (x-2)8=(x-2)6 khi:
x-2=0 hoặc x-2=1 hoặc x-2=-1
x=2 hoặc x=1/2 hoặc x=1
a, 13.(x-9)=169
x-9 =169:13
x-9 =13
b, 230+[16+(x,-5)]=315.2\(^3\)
230+[16+(x,-5)]=2520
16+(x,-5)=2520-230
16+(x-5)=2290
x-5 =2290-16
x-5 =2274
x =2274+5
x =2279
c, 13x-3\(^2\)x=2003\(^1\)+1\(^{2016}\)
13x-9x=2004
(13-9)x=2004
4 . x=2004
x=2004:4
x=501
3n = 53: 5 + 25 : 24
3n = 53-1 + 25-4
3n = 52 + 21
3n = 25 + 2
3n = 27
3n = 33
=> n=3
\(i)4^8:x=4^6\\ x=4^8:4^6\\ x=4^2\\ k)12x-33=3^5\\ 12x-33=243\\ 12x=243+3\\ 12x=276\\ x=276:12\\ x=23\\ l)\left(5x+335\right):2=20^2\\ \left(5x+335\right):2=400\\ 5x+335=400.2\\ 5x+335=800\\ 5x=800-335\\ 5x=465\\ x=465:5\\ x=93\)
\(m)\left(x^2-10\right):5=3\\ x^2-10=3.5\\ x^2-10=15\\ x^2=15+10\\ x^2=25\\ x^2=5^2\\ 740:\left(x+10\right)=10^2-2.13\\ 740:\left(x+10\right)=100-26\\ 740:\left(x+10\right)=74\\ x+10=740:74\\ x+10=10\\ x=10-10\\ x=0.\)
i) 48:x=46
<=> x = 48 : 46 = 42 = 16
k)12x-33=35
<=> x = (35 + 33) : 12 = 23
l)(5x+335):2=202
<=> x = (202 x 2 - 335) : 5 = 93
m)(x2-10):5=3
<=> x2 = 3 x 5 + 10 = 25
<=> x = 5 hoặc x = -5
740:(x+10)=102-2.13
<=> x = 740 : (102 - 2.13) - 10 = 0
a,4^8:X=4^6
X=4^8:4^6
X=4^2
b,12x-33=3^5
12x-33=243
12x=243+33
12x=276
12*X=276
X= 276:12
x=23
c,(5x+335):2=20^2
(5x+335):2=400
(5x+335)=400*2
(5x+335)=800
5*x+335=800
5*x=800-335
5*x=465
x=465:5
x=93
d, (x^2-10):5=3
x^2-10=3*5
x^2-10=15
x^2=15+10
x^2=25
x^2=5^2
vậy x=5
e,740:(x+10)=10^2 - 2*13
740:(x+10)=10^2-26
740:(x+10)=100-26
740:(x+10)=74
x+10=740:74
x+10=10
x=10-10
x=0
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