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314 : ( 39.27 ) + 52.25 - 43
= 314 : ( 39.33) + 52.25 - ( 22)3
= 314 : 312 + 52.25 - 26
= 32 + 25.(25 - 2)
= 9 + 32.23
= 9 + 736
=745
23.5 - 32.4 + 4.6
= 23.5 - 32.22 + 22.2.3
= 22.( 2.5 - 9 + 2.3)
= 4 .( 10 - 9 + 6 )
= 4 . 7
= 28
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a)(x-2)5=243
\(\Leftrightarrow\left(x-2\right)^5=3^5\)
\(\Rightarrow x^5=3^5+2^5=5^5\)
\(\Rightarrow x=5\)
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\(\frac{243^5.81^7.9^{15}.3^6.9^4.3^{18}}{9^8.729^8.81^9.27^5}=\frac{\left(3^5\right)^5.\left(3^4\right)^7.\left(3^2\right)^{15}.3^6.\left(3^2\right)^4.3^{18}}{\left(3^2\right)^8.\left(3^6\right)^8.\left(3^4\right)^9.\left(3^3\right)^5}=\frac{3^{25}.3^{28}.3^{30}.3^6.3^8.3^{18}}{3^{16}.3^{48}.3^{36}.3^{15}}=\frac{3^{115}}{3^{115}}=1\)
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Sory bn nha mik nhầm, dòng đầu thì đúng để mik sửa dòng 2,3 cho
\(3^{3n}=3^{n+2}\)
=>\(3n=n+2\)
=>\(n=1\)
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a) \(5^x.5=625\)
\(\Rightarrow5^x=125=5^3\)
\(\Rightarrow x=3\)
b) \(3^x=9.27\)
\(\Rightarrow3^x=3^2.3^3=3^5\)
\(\Rightarrow x=5\)
c) \(\left(x-6\right)^2=9\) .
\(\Rightarrow\orbr{\begin{cases}x-6=-3\\x-6=3\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=9\end{cases}}\)
(2x-3)5=9.27
=>(2x-3)5=243
Mà: 35=243
=> (2x-3)5=35
=>2x-3=3
=>2x=3+3
=>2x=6
=>x=6:2
=>x=3
(2x-3)5=9.27
=>(2x-3)5=243
Mà: 35=243
=> (2x-3)5=35
=>2x-3=3
=>2x=3+3
=>2x=6
=>x=6:2
=>x=3