Tìm x
a)(7x-11)^3=3^2.2^2+2^3.89
b)(x-5)^7=(x-15)^17
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a) \(5x+x=39-3^{11}:3^9\)
\(6x=39-3^2\)
\(x=30:6\)
\(x=5\)
vậy \(x=5\)
b) \(7x-x=5^{21}:5^{19}+3.2^2-7^0\)
\(6x=5^2+12-1\)
\(6x=36\)
\(x=6\)
vậy \(x=6\)
câu c tương tự nha
\(a.\)\(7x-2x=6^{17}:6^{15}+44:11\)
\(\Leftrightarrow5x=6^2+4\)
\(\Leftrightarrow5x=36+4\)
\(\Leftrightarrow5x=40\)
\(\Leftrightarrow x=40:5\)
\(\Leftrightarrow x=8\)
\(b.\)\(9^{x-1}=9\)
\(\Leftrightarrow9^x:9=9\)
\(\Leftrightarrow9^x=81\)
\(\Leftrightarrow9^x=9^2\)
\(\Leftrightarrow x=2\)
\(c.\)\(\left|x-5\right|=7-\left(-3\right)\)
\(\Leftrightarrow\left|x-5\right|=7+3\)
\(\Leftrightarrow\left|x-5\right|=10\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=10\\x-5=-10\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=15\\x=-5\end{cases}}\)
\(d.\)\(\left|x-5\right|=\left|-7\right|\)
\(\Leftrightarrow\left|x-5\right|=7\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=7\\x-5=-7\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=12\\x=-2\end{cases}}\)
\(e.\)\(\left|x\right|-5=3\)
\(\Leftrightarrow\left|x\right|=8\)
\(\Leftrightarrow\orbr{\begin{cases}x=8\\x=-8\end{cases}}\)
\(g.\)\(15-2\left|x\right|=13\)
\(\Leftrightarrow2\left|x\right|=15-13=2\)
\(\Leftrightarrow\left|x\right|=2:2=1\)
\(\Leftrightarrow\orbr{\begin{cases}x=1\\x=-1\end{cases}}\)
\(h.\)\(\left|x-2\right|=0\)
\(\Leftrightarrow x-2=0\)
\(\Leftrightarrow x=0+2\)
\(\Leftrightarrow x=2\)
720 : [41-(2x-5)] =2^3 . 5
<=> 41-(2x-5)=720:40=18
<=> 2x-5=41-18=23
<=>2x=23+5=28
<=> x=28:2=14
2^x-15=17
<=> 2^x=17+15=32
<=> 2^x=2^5
<=> x=5
(7x-11)^3= 2^5.5^2+200
<=> (7x-11)^3=1000
<=> (7x-11)^3=10^3
<=> 7x-11=10
<=> 7x=10+11=21
<=> x=21:7=3
\(\text{a) 5(2x-3)-4(5x-7)=19-2(x+11)}\)
\(10x-15-20x+28=19-2x-22\)
\(10x-20x+2x=19-22-28+15\)
\(-8x=-16\)
\(\Rightarrow x=2\)
\(\text{b) 4(x+3)-7x+17=8(5x-1)+166}\)
\(4x+12-7x+17=40x-8+166\)
\(4x-7x-40x=-8+166-17-12\)
\(-43x=129\)
\(x=-3\)
\(\text{c) 17-14(x+1)=13-4(x+1)-5(x-3)}\)
\(17-14x+14=13-4x-4-5x+15\)
\(-14x+4x+5x=13-4+15-14-17\)
\(-5x=-7\)
\(x=\frac{7}{5}\)
\(\text{d) 5x+3,5+(3x-4)=7x-3(x-0,5)}\)
\(5x+3,5+3x-4=7x-3x+1,5\)
\(5x+3x-7x+3x=1,5-3,5\)
\(x=-2\)
\(\text{e) 7(4x+3)-4(x-1)=15(x+0,75)+7}\)
\(28x+21-4x+4=15x+11,25+7\)
\(28x-4x-15x=11,25+7-4-21\)
\(9x=\frac{-27}{4}\)
\(x=\frac{-3}{4}\)
\(\text{f) 3x+2,42+o,8x=3,38-0,2x}\)
\(3x+0,8x+0,2x=3,38-2,42\)
\(4x=\frac{24}{25}\)
\(x=\frac{6}{25}\)
chúc bạn học tốt !!
tìm số tự nhiên x biết
a, 2x - 15 =17
=> 2x = 17 + 15 = 32
=> 2x = 25
=> x = 5
b, ( 7x - 11)3 = 25 x 52+200
=> ( 7x - 11 )3 = 32 . 25 + 200
=> ( 7x - 11 )3 = 1000
=> ( 7x - 11 )3 = 103
=> 7x - 11 = 10
=> 7x = 10 + 11 = 21
=> x = 21 : 7 = 3