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\(5^n=625\)
\(5^n=5^4\)
\(\Rightarrow n=4\)
vay \(n=4\)
\(4^n=64\)
\(4^n=4^3\)
\(\Rightarrow n=3\)
vay \(n=3\)
a) 5n = 625
=>5n = 54
=> n = 4
b) 4n = 64
=> 4n = 43
=> n = 3
a) Ta có: 49 = 7 . 7 = 72
=> x = 2
b) Ta có 625 = 5 . 5 . 5 . 5 = 54
=> x = 4
c) Ta có: 64 = 4 . 4 . 4 = 43
=> x = 3
d) Ta có: 128 = 2 . 2 . 2 . 2 . 2 . 2 . 2 = 27
=> x = 7
a)\(49=7^2\Rightarrow n=7\)
b)\(625=5^4\Rightarrow n=4\)
c)\(64=4^3\Rightarrow n=3\)
d)\(128=2^7\Rightarrow n=7\)
a) Ta có: \(3^{54}=\left(3^6\right)^9=729^9\)
Lại có: \(2^{81}=\left(2^9\right)^9=512^9\)
Ta có: \(729^9>512^9\Rightarrow3^{54}>2^{81}\)
b) Ta có: \(5\cdot125\cdot625=5^1\cdot5^3\cdot5^4=5^8\)
Lại có: \(625^3=\left(5^4\right)^3=5^{12}\)
Ta có: \(5^8< 5^{12}\Rightarrow5\cdot125\cdot625< 625^3\)
c) Xét: \(8^4\cdot16^3\cdot32\)
\(=\left(2^3\right)^4\cdot\left(2^4\right)^3\cdot2^5\)
\(=2^{12}\cdot2^{12}\cdot2^5\)
\(=2^{29}\)
Xét: \(64^4\cdot8^2\)
\(=\left(2^6\right)^4\cdot\left(2^3\right)^2\)
\(=2^{24}\cdot2^6\)
\(=2^{30}\)
Ta có: \(2^{29}< 2^{30}\Rightarrow8^4\cdot16^3\cdot32< 64^4\cdot8^2\)
ko ghi lại đề
\(=5^2.\left(5^3\right)^3.\left(5^4\right)^6\)
\(=5^2.5^9.5^{24}\)
\(=5^{35}\)
a)4^x=64
4^x=4^3
<=>x=3
b)3^x-1=27
3^x-1=3^3
<=>x-1=3
x=3+1
x=4
c)26+8x-6x=46
26+x(8-6)=46
26+2x=46
2x=46-26
2x=20
x=20:2
x=10
d)\(25\le5^x\le625\)
<=>\(5^2\le5^x\le5^4\)
<=>\(2\le x\le4\)
<=>\(x\in\left\{2;3;4\right\}\)
e)10+2x=4^5:4^3
10+2x=4^5-3
10+2x=4^2
10+2x=16
2x=16-10
2x=6
x=6:2
x=3
a) 4x = 64
\(\Rightarrow\)4x = 43
\(\Rightarrow\)x = 3
b) 3x - 1 = 27
\(\Rightarrow\)3x - 1 = 33
\(\Rightarrow\)x - 1 = 3
\(\Rightarrow\)x = 4
c) 26 + 8x - 6x = 46
\(\Rightarrow\)26 + 2x = 46
\(\Rightarrow\)2x = 46 - 26
\(\Rightarrow\)2x = 20
\(\Rightarrow\)x = 10
d) 25 \(\le\)5x \(\le\)625
\(\Rightarrow\)52\(\le\)5x\(\le\)54
\(\Rightarrow\)x \(\in\){ 2 ; 3 ; 4 }
e) 10 + 2x = 45 : 43
\(\Rightarrow\)10 + 2x = 42 = 16
\(\Rightarrow\)2x = 16 - 10
\(\Rightarrow\)2x = 6
\(\Rightarrow\)x = 3
a, đề k rõ :v
b, (x + 2)4 = 625
=> (x + 2) = (+5)4
=> x + 2 = + 5
=> x = 3 hoặc x = -7
vậy_
a, \(4^{n+2}\) = 64
\(4^{n+2}\) = \(4^3\)
n + 2 = 3
n = 3 -2
n = 1
a, \(\left(x+2\right)^4\) = 625
\(\left(x+2\right)^4\) = \(5^4\)
x +2 = 5
x= 5 - 2
x= 3
Tk mk nha