Question

Tìm x

2.3^x = 10.3^12 + 8.27^4

Hepl me  !

Answer 1

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

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

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

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

\(2.3^x=3^{12}.3^2.2\)

\(2.3^x=2.3^{14}\)

\(\Rightarrow x=14\)

Answer 2

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

\(\Rightarrow 2.3^x=2.3^{12}.5+2.3^{12}.2^2\)

\(\Rightarrow 2.3^x=2.3^{12}.(5+2^2)\Rightarrow 2.3^x=2.3^{12}.9\)

\(\Rightarrow 2.3^x=2.3^{12}.3^2\Rightarrow 2.3^x=2.3^{14}\Rightarrow 3^x=3^{14}\Rightarrow x=14\)

k mk nha bạn!