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20 . 2^x + 1 = 10.4^2 + 1
20 . 2^x + 1 = 10 . 16 + 1
20 . 2^x + 1 = 161
20 . 2^x = 161 - 1
20 . 2^x = 160
2^x = 8
2^x = 2^3
=> x = 3
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a) \(\frac{3}{2}x-\frac{2}{5}=\frac{1}{3}x-\frac{1}{4}\)
\(\Rightarrow\frac{3}{2}x-\frac{1}{3}x=-\frac{1}{4}+\frac{2}{5}\)
\(\frac{7}{6}x=\frac{3}{20}\Rightarrow x=\frac{9}{70}\)
b) \(-5^{\frac{1}{2}x+1}=\frac{3}{4}-\frac{7}{6}\)
\(-5^{\frac{1}{2}x}.\left(-5\right)=-\frac{5}{12}\)
\(-5^{\frac{1}{2}x}=\frac{1}{12}\)
mà -51/2x mang giá trị âm
1/12 có giá trị dương
=> không tìm được x
c) \(\frac{2x-2}{3}=\frac{7x+3}{2-1}\)
\(\frac{2x-2}{3}=7x+3=\frac{21x+9}{3}\)
=> 2x - 2 = 21x + 9
=> 2x - 21x = 9 + 2
-19x = 11
x = -11/19
phần d bn lm như phần a nha
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(x+x+....+x)+(1+2+.......+50)=1875
50x+[(50-1):1+1].(50+1):2=1875
50x+50.51:2=1875
50x+1275
50x=1875-1275=600
x=600:50
x=12
( x + 1 ) + ( x + 2 ) + ( x + 3 ) + (x + 4) +...+ (x + 50) = 1875
(x + x + x + x + ... + x) + (1 + 2 + 3 + 4 + ... + 50) = 1875
x . 50 + (1 + 50) . 50 : 2 = 1875
x . 50 + 51 . 50 : 2 = 1875
x . 50 + 2550 : 2 = 1875
x . 50 + 1275 = 1875
x . 50 = 1875 - 1275 = 600
x = 600 : 50
x = 12
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