Tim n thuoc N:
a) 3^ 2 . 3^5 . 3^n = 3^11
b) 2^n-1 . 2^n + 2.2^n = 5 . 2^5
c) 64 < 2^n < 256
d) 5^n + 5^n+2 = 650
e) 9 . 27 <,= 3^n <,= 243
f) 9 < 3^n < 27
tim x thuoc N bieta, 125.n 5 7b, 2 3.n 3 4 2 5 5c, 2 3 2 n 3 2.n.5 10 10 2d, 5 n=
125
tim x thuoc N biet
a, 125.n=5^7
b, 2^3.n-3^4=2^5-5
c, (2^3+2) n+3^2.n.5-10=10^2
d, 5^n.5=125
e, 9 be hon hoac bang 3^n<90
f, (3n+1)^3=64
tim x thuoc N biet
a, 125.n=5^7
b, 2^3.n-3^4=2^5-5
c, (2^3+2) n+3^2.n.5-10=10^2
d, 5^n.5=125
e, 9 be hon hoac bang 3^n<90
f, (3n+1)^3=64
tim x thuoc N biet
a, 125.n=5^7
b, 2^3.n-3^4=2^5-5
c, (2^3+2) n+3^2.n.5-10=10^2
d, 5^n.5=125
e, 9 be hon hoac bang 3^n<90
f, (3n+1)^3=64
a: =>n*5^3=5^7
=>n=5^4=625
c: \(\Leftrightarrow2\cdot3^n=3^4+2^5-5=81+32-5=108\)
=>3^n=54
=>\(n\in\varnothing\)
d: =>5^n=25
=>n=2
f: =>3n+1=4
=>3n=3
=>n=1
bai 1:tim x
a) (x+1/5)2+17/25=26/25
b)-1va 5/27-(3x-7/9)3=-24/27
bai 2:cho A=n+2/n-5 (n thuoc Z ;n khac 5).Tim x de A thuoc Z
1a. x=-0,8
b)-1va 5/27-(3x-7/9)3=-24/27 mik ko hỉu đề
2.n= 6
tim n E N;
A, 2 mu 2 =32
27. 3 mu n= 243
64. 4mu n=4 mu 5
9 mu 2.3 mu n=3 mu 7
tìm n biết:
a,\(\left(\frac{1}{3}\right)^n.27^n=3^n\)
b,\(\frac{1}{2}.2^n+4.2^n=3^2.2^5\)
c,\(\frac{64}{\left(-2\right)^n}=-32\)
d,\(6^{3-n}=216\)
e,\(5^n+5^{n+2}=650\)
f,\(3^{n-1}+5.3^{n-1}=162\)
a)
\(\left(\frac{1}{3}\right)^n\cdot27^n=3^n\)
\(\Rightarrow\left(\frac{1}{3}\cdot27\right)^n=3^n\)
\(\Rightarrow9^n=3^n\)
\(\Rightarrow\left(3^2\right)^n=3^n\)
\(\Rightarrow3^{2n}=3^n\)
\(\Rightarrow2n=n\)
\(\Leftrightarrow n=0\)
Vậy \(n=0\)
d) Ta có:
\(6^{3-n}=216\)
\(\Rightarrow6^{3-n}=6^3\)
\(\Rightarrow3-n=3\)
\(\Rightarrow n=3-3\)
\(\Rightarrow n=0\)
Vậy \(n=0\)\(\text{ }\)
e) Ta có:
\(5^n+5^{n+2}=650\)
\(\Rightarrow5^n+5^n\cdot5^2=650\)
\(\Rightarrow5^n\cdot\left(1+5^2\right)=650\)
\(\Rightarrow5^n\cdot26=25\cdot26\)
\(\Rightarrow5^n=25\)
\(\Rightarrow5^n=5^2\)
\(\Rightarrow n=2\)
Vậy \(n=2\)
Bai 1:Cho A=5- 5^2 + 5^3 - 5^4 +...-5^98 + 5^99 . Tinh tong A.
Chung to (2^n + 1)x( 2^n +2) chia het cho 3 voi moi n la so tu nhien.
Bai 2 :Tim n thuoc Z de (4n-3) chia het cho (3n-2)
1. Tìm a,b,c biết:
a) a/b = 8/5; b/c = 2/7 và a+b+c= 61
b) ab = 1/2; bc= 2/3; ac = 3/4
c) 3a=2b; 5b = 7c và 3a + 5c - 7b= 60
2. tìm các số nguyên n sao cho:
1) 5^n + 5^n+2 = 650
2) 32^-n .16^n = 1024
3) 3^-1 .3^n+ 5. 3^n-1 = 162
4) 125. 5\(\ge\)5^n\(\ge\)5 . 25
5) (n^54)^2 = n
6) 243\(\ge\)3^n\(\ge\)9.27
7) 2^n+3 . 2^n = 144
8)3<3^n\(\le\)234
9) 8. 16\(\ge\)2^n\(\ge\)4
10) 4^15. 9^15<2^n.3^n< 18^16. 2^16
11) 4^11. 25^11\(\le\)2^n. 5^n\(\le\)20^12. 5^12
12)\(\frac{4^5+4^5+4^5+4^5}{3^5+3^5+3^5}\).\(\frac{6^5+6^5+6^5+6^5+6^5+6^5}{2^5+2^5}\)= 2^n
13) 9. 27^n= 3^5
14) (2^3 : 4) . 2^n= 4
15) 3^-2 . 3^4. 3^n = 3^7
16)2^-1. 2^n +4.2^n=9.2^5