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a, 64 : 2 3 = 2 6 : 2 3 = 2 3
b, 243 : 3 4 = 3 5 : 3 4 = 3 1
c, 625 : 5 3 = 5 4 : 5 3 = 5 1
d, 7 5 : 343 = 7 5 : 7 3 = 7 2
e, 100000 : 10 3 = 10 5 : 10 3 = 10 2
f, 11 5 : 121 = 11 5 : 11 2 = 11 3
g, 243 : 3 3 : 3 = 3 5 : 3 3 : 3 = 3 1
h, 4 8 : 64 : 16 = 4 8 : 4 3 : 4 2 = 4 3
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a ) 100000 : 10 3 = 10 5 : 10 3 = 10 2 b ) 11 5 : 121 = 11 5 : 11 2 = 11 3 c ) 243 : 3 3 : 3 = 3 5 : 3 3 : 3 = 3 1 d ) 4 8 : 64 : 16 = 4 8 : 4 3 : 4 = 4 4
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a, \(64:2^3\) = \(2^6:2^3\) = \(2^3=8\)
b, \(7^5:343=7^5:7^3=7^2=49\)
c, \(243:3^3:3=3^5:3^3:3=3^{ }\)
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a) \(3^n:3^2=3^{n-2}\)
\(\Rightarrow3^{n-2}=3^5\)
\(\Rightarrow n=5+2=7\)
b) \(2^n-64=2^6\)
\(\Rightarrow2^n-2^6=2^6\)
\(\Rightarrow2^n=2\cdot2^6=2^7\)
\(\Rightarrow n=7\)
c) \(2^n:16=128\)
\(\Rightarrow2^n:2^{16}=2^{n-16}=128\)
\(2^{n-16}=2^7\)
\(\Rightarrow n=7+16=23\)
\(3^n:3^2=243\)
\(3^{n-2}=243\)
\(3^{n-2}=3^5\)
\(n-2=5\Leftrightarrow n=7\)
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\(\frac{3}{2}+\frac{5}{4}+\frac{9}{8}+\frac{17}{16}+\frac{33}{32}+\)\(\frac{65}{64}-7\)
\(=\frac{96}{64}+\frac{80}{64}+\frac{72}{64}+\frac{66}{64}+\frac{65}{64}-7\)
\(=\frac{96+80+72+66+64}{64}-7\)
\(=\frac{378}{64}-\frac{7}{1}\)
\(=\frac{189}{32}-\frac{224}{32}\)
\(=\frac{-35}{32}\)
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a) 3\(^x\) . 3 = 243
3\(^x\) = 81
3\(^x\) = 3\(^4\)
=> = 4
b) 64 . 4\(^x\) = 16\(^8\)
4\(^3\) . 4\(^x\) = 4\(^{16}\)
4\(^{3+x}\) = 4\(^{16}\)
=> 3 + x = 16
x = 13
Học tốt
Đúng thì t cho mk
a) 3^x . 3 = 243
243 = 3^5
3^4 . 3 = 234
nên x = 4
b) 64 . 4^x = 16^8
4^3 . 4^x = ( 4^2)^8
4^3 . 4^x = 4^16
4^(4+x) = 4^16
x = 4^16 : 4^4
x = 4^12
x = 12
243 : 3³ : 3 = 3⁵ : 3³ : 3
= 3⁵⁻³⁻¹
= 3
------------
4⁸ : 64 : 16 = 4⁸ : 4³ : 4²
= 4⁸⁻³⁻²
= 4³
= 64
.@