2.3 mũ x =10.3 mũ 12 + 8.27 mũ 4
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\(2.3^x=10\cdot3^{12}+8.27^4\)
\(10.3^{12}+8.27^4=10.3^{12}+8.3^{12}\)
\(10.3^{12}+8.3^{12}=3^{12}\cdot\left(10+8\right)=3^{12}\cdot18=3^{12}\cdot2\cdot3^2=3^{14}\cdot2\)
=>x = 14
\(2.3^x=10.3^{12}+8.27^4\\ \Rightarrow2.3^x=10.3^{12}+8.\left(3^3\right)^4\\ \Rightarrow2.3^x=10.3^{12}+8.3^{12}\\ \Rightarrow2.3^x=3^{12}\left(10+8\right)\\ \Rightarrow2.3^x=3^{12}.18\)
\(=>3^x=3^{12}.18:2\\ \Rightarrow3^x=3^{12}.3^2\\ \Rightarrow3^x=3^{10}\)
<=>2.3x=9565938 tính ra số hơi to ^^
=>3x2=2.4782696 ( 2 vế rút gọn 2 )
=>3x=4782969
=>x=14
\(\frac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot3^{10}}\)\(=\frac{2^{10}\cdot3^9\left(3-1\right)}{2^9\cdot3^{10}}\)\(=\frac{2\cdot2}{3}=\frac{4}{3}\)
Vậy \(\frac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot3^{10}}=\frac{3}{4}\)
2.3x = 10.312 + 8.274
=> 2.3x = 10.312 + 23 . (33)4
=> 2.3x = 10.312 + 8.312
=> 2.3x = (10 + 8).312
=> 2.3x = 18.312
=> 2.3x = 2.32 . 312
=> 2.3x = 2.314
=> x = 14
\(2.3^x=10.3^{12}+8.27^4\)
\(\Leftrightarrow2.3^x=2.5.3^{12}+2^3.\left(3^3\right)^4\)
\(\Leftrightarrow2.3^x=2.5.3^{12}+2^3.3^{12}\)
\(\Leftrightarrow2.3^x=2.3^{12}\left(5+2^2\right)\)
\(\Leftrightarrow2.3^x=2.3^{12}.9\)
\(\Leftrightarrow2.3^x=2.3^{12}.3^2\)
\(\Leftrightarrow2.3^x=2.3^{14}\)
\(\Leftrightarrow x=14\)
Vậy x=14
Hok Tốt !!!!!!!!!!!!!!!!!!!!!!!