Question

2*3^x= 10 *3¹²+8*27⁴

Answer 1

\(2.3^x=10.3^{12}+8.27^4\)

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

\(2.3^x=18.3^{12}\)

\(3^x=9.3^{12}=3^{14}\)

\(x=14\)

Answer 2

2.3ˣ = 10.3¹² + 8.27⁴

2.3ˣ = 10.3¹² + 8.(3³)⁴

2.3ˣ = 10.3¹² + 8.3¹²

2.3ˣ = 3¹².(10 + 8)

2.3ˣ = 3¹².18

3ˣ = 3¹².18 : 2

3ˣ = 3¹² . 9

3ˣ = 3¹² . 3²

3ˣ = 3¹⁴

x = 14