Question

tìm x

\(2^{3x+2}=4^{x+5}\)

Answer 1

\(2^{3x+2}=4^{x+5}\)

\(2^{3x+2}=2^{2\left(x+5\right)}\)

\(3x+2=2x+10\)

\(3x-2x=10-2\)

\(x=8\)

Answer 2

2^3x+2= 4^x+5

=> 2^3x.2² = 4^x.4⁵

=> 2^3x.2² = 2^2x.2¹⁰

=> 2^3x= 2^2x.2⁸

=> 2^3x: 2^2x = 2⁸

=> 2^x = 2⁸

=> x = 8

vậy x = 8