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tìm x E Z biết
a, 0 : x =0
\(\Rightarrow x=\frac{0}{0}\)
\(\Rightarrow x\in\varnothing\)
b, 4 mũ x =64
\(\Rightarrow4^x=4^3\)
\(\Rightarrow x=3\)
c, 2 mũ x =16
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
d, 9 mũ x-1=9
\(\Rightarrow x-1=1\)
\(\Rightarrow x=2\)
e,x mũ 4 =16
\(\Rightarrow x^4=2^4\)
\(\Rightarrow x=2\)
g, 2 mũ x : 2 mũ 5 =1
\(\Rightarrow2^{x-5}=1\)
\(\Rightarrow x-5=0\)
\(\Rightarrow x=5\)
giúp mk với mk đang cần
a)|x-3|=7-(-2)
|x-3|=9
x-3=9
th1:x-3=9 th2:x-3=-9
x=9+3=12 x=(-9)+3=-6
b. ( 7-x ) - ( 25+7) = -25 c. (3x - 2 mũ 4 ) . 7 mũ 3 = 2. 7 mũ 4
7-x-25-7=-25 3x-2^4=2.7^4:7^3
-x-25=-25 3x-16=14
-x=0 3x=30
vậy x=0 vậy x=10
2.3x= 10.312+8.274
2.3x = 10.(33)4+ (33)4 . 8
2.3x= (33)4. 18
2.3x= (33)4.2.32
2.3x= 312+2.2
2.3x= 314.2
=> x = 14
a) \(\left(19x+2\cdot5^2\right):14=\left(13-8\right)^2-4^2\)
\(\left(19x+2\cdot5^2\right):14=9\)
\(19x+2\cdot5^2=9\cdot14=126\)
\(19x+50=126\)
\(19x=126-50=76\)
\(x=\frac{76}{19}=4\)
b) \(x+\left(x+1\right)+\left(x+2\right)+...+\left(x+30\right)=1240\)
\(\left(x+x+..+x\right)+\left(1+2+3+...+30=1240\right)\)(31 chữ số x)
\(31x+\frac{30\cdot31}{2}=1240\Leftrightarrow31x+465=1240\)
\(31x=1240-465=775\)
\(x=\frac{775}{31}=25\)
c) \(11-\left(-53+x\right)=97\)
\(11+53-x=97\Leftrightarrow64-x=97\)
\(x=64-97=-33\)
d) \(-\left(x+81\right)+213=-16\)
\(-x-81+213=-16\)
\(-x+132=-16\)
\(-x=-16-132=-148\)
\(x=148\)
..........
+) \(x^3=x^2\Leftrightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
+) \((7x-11)^3=2^5.5^2+200\)
\((7x-11)^3=2^3.2^2.5^2+2^3.5^2\)
\((7x-11)^3=2^3.5^2.(2^2+1)\)
\((7x-11)^3=2^3.5^2.5\)
\((7x-11)^3=2^3.5^3\)
\((7x-11)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(7x=21\)
\(x=3\)
+) \(3+2^{x-1}=24-[4^2-(2^2-1)]\)
\(3+2^{x-1}=11\)
\(2^{x-1}=8\)
\(2^{x-1}=2^3\)
\(\Rightarrow x-1=3\)
\(x=4\)
Đề bài bạn 3 câu sai nha !
\(a,\text{ }3^x=34\)
\(\Rightarrow\text{ }x\in\varnothing\)
\(b,\text{ }2^{2x-3}=29\)
\(\Rightarrow\text{ }x\in\varnothing\)
\(c,\text{ }2^x=64\)
\(2^x=2^6\)
\(\Rightarrow\text{ }x=6\)
\(d,\text{ }x^2=16\)
\(x^2=\left(\pm4\right)^2\)
\(x=\pm4\)
\(e,\text{ }15^x=34\)
\(x\in\varnothing\)
Bạn viết nhầm đề à ?
\(a,\text{ }3^x=34\)
\(\Rightarrow\text{ }x\in\varnothing\)
\(b,\text{ }2^{2x-3}=29\)
\(\Rightarrow\text{ }x\in\varnothing\)
\(c,\text{ }2^x=64\)
\(2^x=2^6\)
\(\Rightarrow\text{ }x=6\)
\(d,\text{ }x^2=16\)
\(x^2=\left(\pm4\right)^2\)
\(x=\pm4\)
\(e,\text{ }15^x=34\)
\(x\in\varnothing\)