o: Sửa đề: \(3^x+3^{x+2}=9^{17}+27^{12}\)
\(\Leftrightarrow3^x+3^x\cdot9=3^{34}+3^{36}\)
=>\(10\cdot3^x=3^{34}\left(1+3^2\right)\)
=>\(3^x=3^{34}\)
=>x=34
đ: \(5^{x+11}-5^x=100\cdot25^{29}\)
=>\(5^x\cdot\left(5^{11}-1\right)=5^2\cdot2^2\cdot5^{58}\)
=>\(5^x\cdot\left(5^{11}-1\right)=2^2\cdot5^{60}\)
=>\(5^x=\dfrac{4\cdot5^{60}}{5^{11}-1}\)
=>\(x=log_5\left(\dfrac{4\cdot5^{60}}{5^{11}-1}\right)\)
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