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\(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}=\frac{22.3^{28}-3^{28}.2}{2^2.3^{28}}=\frac{3^{28}.20}{3^{28}.4}=\frac{20}{4}=5\)
Mk ko hiểu cách tl của bn Nguyễn Ngọc Quý ak.Bn có thể giải thích rõ hơn ko?
7x - x = 521: 519 + 3.22 - 70
=> 6x = 52 + 3.4 - 1
=> 6x = 25 + 12 - 1
=> 6x = 36
=> x = 36 : 6
=> x = 6
2x : 23 = 16
=> 2x = 16.23
=> 2x = 128
=> 2x = 27
=> x = 7
32x + 3 - 9x + 1 = 2.310
=> 32x + 3 - 32x + 2 = 2.310
=> 32x + 2. 3 - 32x + 2 = 2.310
=> 32x + 2. (3 - 1) = 2.310
=> 32x + 2.2 = 2.310
=> 32x + 2 = 310
=> 2x + 3 = 10
=> 2x = 10 - 3
=> 2x = 7
=> x = 7/2
a) \(7x-x=5^{21}:5^{19}+3.2^2-7^0\)
\(\Rightarrow6x=25+12-1\)
\(\Rightarrow x=6\)
b) \(2^x:2^3=16\)
\(\Rightarrow2^x=2^4.2^3=2^7\)
\(\Rightarrow x=7\)
c) \(3^{2x+3}-9^{x+1}=2.3^{10}\)
\(\Rightarrow9^x.27-9^x.9=2.3^{10}\)
\(\Rightarrow9^x.18=2.3^{10}\)
\(\Rightarrow9^x=3^8=9^4\)
\(\Rightarrow x=4\)
\(a,\left(7x-11\right)^3=2^5.5^2+200.\)
\(\left(7x+11\right)^3=32.25+200.\)
\(\left(7x+11\right)^3=800+200.\)
\(\left(7x-11\right)^3=1000.\)
\(\left(7x-11\right)^3=10^3.\)
\(\Rightarrow7x-11=10.\)
\(\Rightarrow x=\left(10+11\right):3=7\in Z.\)
Vậy.....
\(b,3^x+25=26.2^2+2.3^0.\)
\(3^x+25=26.4+2.\)
\(3^x+25=104+2.\)
\(3^x+25=106.\)
\(3^x=106-25.\)
\(3^x=81.\)
\(3^x=3^4\Rightarrow x=4\in Z.\)
Vậy.....
\(c,2^x+3.2=64.\)(có vấn đề).
\(d,5^{x+1}+5^x=750.\)
\(5^x.5^1+5^x+1=750.\)
\(5^x\left(5^1+1\right)=750.\)
\(5^x\left(5+1\right)=750.\)
\(5^x.6=750.\)
\(5^x=750:6.\)
\(5^x=125.\)
\(5^x=5^3\Rightarrow x=3\in Z.\)
Vậy.....
\(e,x^{15}=x.\)
\(\Rightarrow x\left(x^{14}-1\right)=0\Rightarrow\left\{{}\begin{matrix}x=0\\x=1\end{matrix}\right..\)
\(f,\left(x-5\right)^4=\left(x-5\right)^6.\)
\(\Leftrightarrow\left(x-5\right)^4-\left(x-5^6\right)=0.\)
\(\Leftrightarrow\left(x-5\right)^4\left[1-\left(x-5\right)^2\right]=0.\)
\(\Leftrightarrow\left(x-5\right)^4\left(1-x+5\right)\left(1+x-5\right)=0.\)
\(\Leftrightarrow\left(x-5\right)^4\left(6-x\right)\left(x-4\right)=0.\)
\(\Leftrightarrow\left(x-5\right)^4=0\Rightarrow x-5=0\Rightarrow x=5\in Z.\)
\(6-x=0\Rightarrow x=6\in Z.\)
\(x-4=0\Rightarrow x=4\in Z.\)
Vậy.....
a)197-9(x+3)=80
=>9(x+3)=197-80
=>9(x+3)=117
=>x+3=117:9
=>x+3=13
=>x=13-3=10
b)7(x-14)+35=56
=>7(x+14)=56-35
=>7(x+14)=21
=>x+14=21/7
=>x+14=3
=>x=3-14=(-11)
c)2.3x-1=54
=>3x-1=54:2
=>3x-1=27
=>3x-1=33
=>x-1=3
=>x=3+1=4
d)3.2x-1=24
=>2x-1=24:3
=>2x-1=8
=>2x-1=23
=>x-1=3
=>x=3+1=4
\(2.3^{x+2}=54\)
\(\Leftrightarrow3^{x+2}=27\)
\(\Leftrightarrow3^{x+2}=3^3\)
\(\Leftrightarrow x+2=3\)
\(\Leftrightarrow x=1\)
2.3^x+2 = 54
3^x+2 = 54 : 2 = 27
3^x+2 = 3^3
=> x + 2 = 3
x = 3 - 2 = 1
x+1=9 vì2.3=6 và 54:6=9 nên x=8 =>x=8