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a. Ta có : 2,5 < 5,2 => 2,53 < 5,23
b. Ta có : 45 = 1024 ; 54 = 625
Vì 1024 > 625 => 45 > 54
\(a.2.5^3va5.2^3\)
\(2.5^3=2.125=250;5.2^3=5.8=40\)
Vì \(250>40\)
\(\Rightarrow2.5^3>5.2^3\)
\(b.4^5va5^4\)
\(4^5=1024;5^4=625\)
Vì \(1024>625\)
\(\Rightarrow4^5>5^4\)
\(c.2^8va2.5^3\)
\(2^8=256;2.5^3=2.125=250\)
Vì \(256>250\)
\(\Rightarrow2^8>2.5^3\)
2.Tìm x:
\(a.2^n+4.2^n=5.2^5\)
\(2^n\left(1+4\right)=5.32\)
\(2^n.5=160\)
\(2^n=160:5\)
\(2^n=32\)
\(2^n=2^5\)
\(\Rightarrow n=5\)
\(b.3^4.3^n:9=3^7\)
\(3^4.3^n:3^2=3^7\)
\(3^4.3^n=3^7.3^2\)
\(3^4.3^n=3^{7+2}\)
\(3^4.3^n=3^9\)
\(3^n=3^9:3^4\)
\(3^n=3^{9-4}\)
\(3^n=3^5\)
\(\Rightarrow n=5\)
\(c.6.2^n+3.2^n=9.2^n\)
\(2^n\left(6+3\right)=9.2^n\)
\(2^n.9=9.2^n\)
\(\Rightarrow2^n=9:9\)
\(\Rightarrow2^n=1\)
\(\Rightarrow2^n=2^0\)
\(\Rightarrow n=0\)
Chúc bạn học tốt!
a. => \(2^{6+x}=2^{10}\)
=> 6+x=10
=> x=10-6
Vậy x=4.
b. => \(7^{3x-1}:7^2=7^6\)
=> 73x-1-2=76
=> 73x-3=76
=> 3x-3=6
=> 3x=6+3
=> 3x=9
Vậy x=3.
c. =>\(7^{5x-1}-25=24\)
=>75x-1=24+25
=>75x-1=49
=>75x-1=72
=>5x-1=2
=>5x=3
Vậy x=\(\frac{3}{5}\).
d. => \(10^{x-3}=10^0\)
=>x-3=0
Vậy x=3.
e. => 2x=10
=> x=10:2
Vậy x=5.
a) 135 - 5(x + 4) = 35
<=> 135 - 5x - 20 = 35
<=> 115 - 5x = 35
<=> 5x = 115 - 35
<=> 5x = 80
<=> x = 16
b) 25 + 3 (x - 8) = 106
=> 3 ( x - 8) = 106 - 25
=> 3 ( x - 8) = 81
=> ( x - 8) = 81: 3
=> x - 8 = 27
=> x = 27 + 8
=> x = .......
1,2 dễ ko làm
3,
S = 1 + 2 + 22 + 23 + ... + 29
2S = 2 + 22 + 23 + 24 + ... + 210
2S - S = ( 2 + 22 + 23 + 24 + ... + 210 ) - ( 1 + 2 + 22 + 23 + ... + 29 )
S = 210 - 1
Mà 5 . 28 = ( 1 + 22 ) . 28 = 28 + 210 > 210 > 210 - 1
Vậy S < 5 . 28
P = 1 + 3 + 32 + 33 + ... + 320
3P = 3 + 32 + 33 + 34 + ... + 321
3P - P = ( 3 + 32 + 33 + 34 + ... + 321 ) - ( 1 + 3 + 32 + 33 + ... + 320 )
2P = 321 - 1
P = ( 321 - 1 ) : 2 < 321
Vậy P < 321
a) 3x=9
Ta có: 9= 32
Mà 3x =32
=> x=2
b)x3=27
Ta có: 27 = 3.3.3= 33
Mà x3 =33
=> x=3
c)3.2x=24
=> 2x= 24: 3
=> 2x= 8
Mà 8= 23 => 2x= 23
Vậy x= 3
a)x=4 b)x=3
c)22.(x+32)-5=55 d)5.22+(x+3)=52
4.(x+9)=55+5 5.4+(x+3)=25
4.x+36=60 20+(x+3)=25
4.x=60-36 x+3=25-20
4.x=24 x+3=5
x=24:4 x=5-3
x=6 x=2
k cho mình nhé. Cảm ơn
\(2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
b) \(x^3=27\)
\(\Rightarrow x^3=3^3\)
\(\Rightarrow x=3\)
a, 2(x - 51) = 2.23 + 20
=> 2(x - 51) = 2.8 + 20
=> 2(x - 51) = 16 + 20
=> 2(x - 51) = 36
=> x - 51 = 18
=> x = 69
vậy_
b, 32(x + 4) - 52 = 5.22
=> 9(x + 4) - 25 = 5.4
=> 9x + 36 - 25 = 29
=> 9x + 9 = 29
=> 9x = 20
=> x = 20/9
vậy_
\(a,5x+4^3:16=49\)
\(5x+4=49\)
\(\Rightarrow5x=45\)
\(\Rightarrow x=9\)
\(b,2^x+5.2^x=6.2^7\)
\(2^x\left(1+5\right)=6.2^7\)
\(2^x.6=6.2^7\)
\(\Rightarrow x=7\)
a)\(5.x+4^3\div16=49\)
\(\Leftrightarrow5x+4^3\div4^2=49\)
\(\Leftrightarrow5x+4=49\)
\(\Leftrightarrow5x=45\Rightarrow x=9\)
Vậy x= 9
b)\(2^x+5.2^x=6.2^7\)
\(2^x\left(1+5\right)=6.2^7\)
\(2^x.6=6.2^7\Rightarrow2^x=2^7\Rightarrow x=7\)
Vậy x=7