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\(a,5x+4^3:16=49\)
\(5x+4=49\)
\(\Rightarrow5x=45\)
\(\Rightarrow x=9\)
\(b,2^x+5.2^x=6.2^7\)
\(2^x\left(1+5\right)=6.2^7\)
\(2^x.6=6.2^7\)
\(\Rightarrow x=7\)

a. 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)
\(3^4.3^n:9=3^7\)
\(\Rightarrow3^4.3^n=3^7.9\)
\(\Leftrightarrow3^4.3^n=3^7.3^2\)
\(\Rightarrow3^4.3^n=3^9\)
\(\Rightarrow3^n=3^9:3^4\)
\(\Rightarrow3^n=3^5\)
\(\Rightarrow n=5\)
Vậy \(n=5\)
d)
\(2^n:4=16\)
\(\Leftrightarrow2^n:2^2=2^4\)
\(\Rightarrow2^n=2^4.2^2\)
\(\Rightarrow2^n=2^6\)
\(\Rightarrow n=6\)
Vậy \(n=6\)

\(2^n:4=16\Rightarrow2^n=64\Rightarrow2^n=2^6\Rightarrow n=6\)
\(3^n:3^2=243\Rightarrow3^n=2187\Rightarrow3^n=3^7\Rightarrow n=7\)

a) ( 519 : 517 + 3 ) : 7
= ( 25 + 3 ) : 7
= 28 : 7
= 4
b) 79 : 77- 32 + 23 . 52
= 49 - 9 + 8 . 25
= 49 - 9 + 200
= 40 + 200
= 240
c) 1200 : 2 + 62 . 21 + 18
= 600 + 36 . 2 + 18
= 600 + 72 + 18
= 672 + 18
= 690
d) 59 : 57 + 70 : 14 - 20
= 25 + 70 : 14 - 20
= 25 + 5 - 20
= 30 - 20
= 10
e) 100 : 52 + 7 . 32
= 100 : 25 + 7 . 9
= 4 + 63
= 67
f ) 84 : 4 + 39 : 37 + 50
= 21 + 9 + 1
= 30 + 1
= 31

\(\frac{\left(\frac{5^9}{5^{17}}+3\right)}{7}\)= \(\frac{\left(\frac{1}{5^8}+3\right)}{7}\)= \(\frac{\left(\frac{1171876}{390625}\right)}{7}\)= 0.4285717943
\(\frac{7^9}{7^7}-3^2+2^3.5^2\)= \(7^2-3^2+2^3.5^2\)= \(7^2-3^2+200\)= \(40+200=240\)
\(\frac{5^9}{5^7}+\frac{70}{14}-20\)= \(5^2+5-20\)=\(30-20=10\)
\(\frac{2^{28}}{2^{26}}+5^1.3^2-7^2\)= \(2^2+5.3^2-7^2\)= \(4+45-49\)= \(0\)
\(=7^2+2\left(2^4-6\right)=49+2.10=69\)
75:73-6.2+23.22
=72-6.2
=2+23.22
=2+16
=18