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a, 410. 230=220.230=250
b,925.274.813= 350.312.312=374
Tương tự các câu khác....
a, 410.230 = (22)10.230 = 220.230 = 250
b, 925.274.813 = (32)25.(33)4.(34)3 = 350.312.312 = 374
c, 2550.1255 = (52)50.(53)5 = 5100.515 = 5115
d, 643.48.164 = (26)3.(22)8.(24)4 = 218.216.216 = 250
e, 38 : 36 = 32
210 : 83 = 210 : (23)3 = 210 : 29 = 2
127 : 67 = (12 : 6)7 = 27
@Dương Tuyết Mai
2x = 64
⇒ 2x = 26
⇒ x = 6.
7x = 710 : 75
⇒ 7x = 75
⇒ x = 5.
3x = 315 : 243
⇒ 3x = 315 : 35
⇒ 3x = 310
⇒ x = 10.
\(2^x=64=2^6\Rightarrow x=6\\ ---\\ 7^x=7^{10}:7^5=7^5\Rightarrow x=5\\ ----\\ 3^x=3^{15}:243=3^{15}:3^5=3^{10}\Rightarrow x=10\)
a) \(\left(\frac{2x}{3}-3\right)\div\left(-10\right)=\frac{2}{5}\)
\(\Rightarrow\left(\frac{2x}{3}-\frac{9}{3}\right).-\frac{1}{10}=\frac{2}{5}\)
\(\Rightarrow\frac{2x-9}{3}.-\frac{1}{10}=\frac{2}{5}\)
\(\Rightarrow\frac{9-2x}{30}=\frac{2}{5}\Rightarrow\left(9-2x\right).5=60\)
\(\Rightarrow45-10x=60\Rightarrow-10x=15\Rightarrow x=-\frac{15}{10}=-1,5\)
b)\(\left(x+5\right)^3=64\)
\(\Rightarrow\left(x+5\right)^3=4^3\)
\(\Rightarrow x+5=4\Rightarrow x=-1\)
A, 2x/3-3=-4
2x/3=-1
2x=-3
X=-3/2
B,(x+5)^3=4^3
=> x+5=4
X=-1
k nha
\(a.3^x.2=54\Leftrightarrow3^x=27\Leftrightarrow3^x=3^3\Leftrightarrow x=3\)
\(c.\left(2x+1\right)^3=64\Leftrightarrow\left(2x+1\right)^3=4^3\)
\(\Leftrightarrow2x+1=4\Leftrightarrow x=\dfrac{3}{2}\)
a: =>3^x=27
=>x=3
b: =>x(x^9-1)=0
=>x=0 hoặc x=1
c: =>2x+1=4
=>2x=3
=>x=3/2
a, 2x-1 = 64
=> 2x-1 = 26
=> x - 1 = 6
=> x = 6 + 1
=> x = 7
b, 32x-10 = 81
=> 32x-10 = 34
=> 2x - 10 = 4
=> 2x = 14
=> x = 7
c, 22x+3 = 1024
=> 22x+3 = 210
=> 2x + 3 = 10
=> 2x = 7
=> x = \(\frac{7}{2}\)
a)16. x2 = 64
x2 = 64 : 16
x2 = 4
x2 = 22
⇒ x = 2
b) (5.x - 2) - 64 = -36
(5.x - 2) = -36 + 64
5.x - 2 = 28
5.x = 28 + 2
5.x = 30
x = 30 : 5
x = 6
c) (2x - 10).(5 - x) = 0
TH1: 2x - 10 = 0
2x = 0 + 10
2x = 10
x = 10 : 2
x = 5
TH2: 5 - x = 0
x = 5 - 0
x = 5
⇒ Vậy x = 5.
\(2^{10}.2^{x+4}=64^5\)
\(\Leftrightarrow2^{x+14}=2^{30}\)
\(\Leftrightarrow x+14=30\)
\(\Leftrightarrow x=16\)
\(5^x+5^{x+3}=630\)
\(\Rightarrow5^x.1+5^x.125=630\)
\(\Rightarrow5^x.126=630\)
\(\Rightarrow5^x=5\)
\(\Rightarrow x=1\)
\(x+\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+..............+\left(x+100\right)=7450\)
\(\Rightarrow\left(x+x+x+x+.........+x\right)+\left(1+2+3+..........+100\right)=7450\)
\(101x+5050=7450\)
Đến đây tự tính
a) x+ 3 = 10
=> x=10-3
=> x=7
vậy x=7
b) (3x - 4 ) : 23 = 64
=> 3x-4=64.23
=> 3x-4=26.23
=> 3x-4=29
=> 3x-4=512
=> 3x=512+4
=> 3x=516
=> x=516:3
=> x=172
vậy x=172
a) \(x+3=10\)
\(\Leftrightarrow x=10-3\)
\(\Leftrightarrow x=7\)
Vậy \(x=7\)
b) \(\left(3x-4\right):2^3=64\)
\(\Leftrightarrow3x-4=64.2^3\)
\(\Leftrightarrow3x-4=2^6.2^3\)
\(\Leftrightarrow3x-4=2^{6+3}\)
\(\Leftrightarrow3x-4=2^9\)
\(\Leftrightarrow3x-4=512\)
\(\Leftrightarrow3x=512+4\)
\(\Leftrightarrow3x=516\)
\(\Leftrightarrow x=516:3\)
\(\Leftrightarrow x=172\)
Vậy \(x=172\)
\(6\left(x-10\right)=64\Leftrightarrow x-10=\dfrac{32}{3}\Leftrightarrow x=\dfrac{62}{3}\)
3 . 2 .(x-10) = 64
=> 6 . (x-10) = 64
=> x - 10 = \(\dfrac{64}{6}=\dfrac{32}{3}\)
\(\Rightarrow x=\dfrac{32}{3}+10=\dfrac{62}{3}\)