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a) \(2\left(2x-7\right)^2=18\)
\(\Leftrightarrow\left(2x-7\right)^2=9\)
\(\Leftrightarrow\left(2x-7\right)^2=3^2\)
\(\Leftrightarrow2x-7=3\)
\(\Leftrightarrow2x=10\)
\(\Leftrightarrow x=5\)
2.(2X-7)^2= 18
(2X-7)^2=18:2
(2x-7)^2= 9
(2x-7)^2 = 3^2 = (-3)^2
=> (2x-7)^2 = 3^2 và (2x-7)^2 = (-3)^2
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A, (-25). 21. (-2)2. (-|-3|). (-1)2015
B, (-5)3. 67. (-|-2|). (-1)2014
C, 35.18 – 5.7.28 + 35. (-90)
D, 24. (16 – 5) – 16. (24 – 5)
E, - 79. (73 – 27) – 73. (-79 + 27)
G, 31. (-18) + 31. (-8)-31
M, -48 + 48. (-78) + 48. (-21)
N, -|-17| + 2. [ 24: (-8) + (-5)2]
I, -|-7|. [(-2)4 + (-36): (-32)] – (-5)3
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\(a,12^{13}.18^9.24^{25}\)
\(=2^{26}.3^{13}.2^9.3^{18}.2^{50}.3^{25}\)
\(=2^{85}.3^{56}\)
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TA viết lại dưới dạng phân số :
\(\frac{2^{23}+2^{24}+2^{25}}{2^{18}+2^{19}+2^{20}}=\frac{2^{23}\left(1+2+2^2\right)}{2^{18}\left(1+2+2^2\right)}=\frac{2^{23}}{2^{18}}=2^5=32\)
[223(1+2+22)] : [218(1+2+22)]
=> (223.7) : (218.7)
=> (223:218)(7:7)
=> 25.1
=> 32
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a, A = \(\dfrac{3^9\times3^{20}\times2^8}{3^{24}\times243\times2^6}\)
A = \(\dfrac{3^{29}\times2^8}{3^{24}\times3^5\times2^6}\)
A = \(\dfrac{3^{39}\times3^{20}\times2^8}{3^{29}\times2^6}\)
A = 22
A = 4
b, \(\dfrac{2^{15}\times5^3\times2^6\times3^4}{8\times2^{18}\times81\times5}\)
B = \(\dfrac{2^{21}\times3^4\times5^3}{2^3\times2^{18}\times3^4\times5}\)
B = \(\dfrac{2^{21}\times3^4\times5^3}{2^{21}\times3^4\times5}\)
B = 52
B = 25
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\(\frac{9^{14}.25^5.8^2.8^7}{18^{12}.625^3.24^3}=\frac{3^{28}.5^{10}.8^9}{2^{12}.9^{12}.5^{12}.3^3.2^9}\)\(=\frac{3^{28}.5^{10}.2^{27}}{2^{21}.5^{12}.3^{24}.3^3}=\frac{3^{28}.5^{10}.2^{27}}{2^{21}.5^{12}.3^{27}}\) \(=\frac{3.2^6}{5^2}=\frac{192}{25}=7,68\)
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bày mình để hỏi bài đi rùi mình chỉ cho bài này cũng dễ thôi ko khó lăm đâu
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\(5^x.25-5^x.1=24\)
\(\Leftrightarrow5^x.\left(25-1\right)=24\)
\(\Leftrightarrow5^x.24=24\)
\(\Leftrightarrow5^x=24:24=1\)
\(\Leftrightarrow5^x=5^0\)
\(\Rightarrow x=0\)
\(5^x.25-5^x.1=24\Leftrightarrow5^x\left(25-1\right)=24\)
\(\Leftrightarrow5^x.24=24\)
\(\Leftrightarrow5^x=1\)\(=5^0\)
\(\Rightarrow x=0\)
Vậy x=0
\(\Rightarrow25^{x+2}=\left(\dfrac{90}{18}\right)^{24}=5^{24}=25^{12}\\ \Rightarrow x+2=12\\ \Rightarrow x=10\)