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\(2.3^x=10.3^{12}+8.27^4\)
\(2.3^x=10.3^{12}+8.3^{12}\)
\(2.3^x=3^{12}.\left(10+8\right)\)
\(2.3^x=3^{12}.18\)
\(2.3^x=3^{12}.9.2\)
\(2.3^x=3^{12}.3^2.2\)
\(2.3^x=3^{14}.2\)
\(3^x=3^{14}.2:2\)
\(3^x=3^{14}\)
\(\Rightarrow x=4\)