Question

2.3^x=10.3¹²+8.27⁴

Answer 1

\(2.3^x=10.3^{12}+8.\left(3^3\right)^4\)

\(2.3^x=10.3^{12}+8.3^{12}\)

\(2.3^x=3^{12}.\left(10+8\right)\)

\(2.3^x=3^{12}.18\)

\(3^x=3^{12}.18:2\)

\(3^x=3^{12}.9\)

\(3^x=3^{12}.3^2\)

\(3^x=3^{14}\)

\(\Rightarrow x=14\)

Answer 2

2.3^x=10.3¹²+8.27⁴

2.3^x=10.3¹²+2³.3¹²

2.3^x=3¹².18

2.3^x=3¹².3².2

2.3^x=3¹⁴.2

=>x=14