Question

2 la puterea x - 1 + 2 la puterea x = 12

Answer 1

$2^{x-1}+2^x=12 \\ 2^{x-1}(1+2)=12 \\ 2^{x-1}*3=12 \\ 2^{x-1}=4 \\ 2^{x-1}=2^2 \\ x-1=2 \\ \boxed{x=3}. \\ \\ Solutie:~x=3.$

Answer 2

rezulta 2^x·2⁻¹+2^x=12
2^x·1/2+2^x=12
2^x·(1/2+1)=12
2^x·(1/2+2/2)=12
2^x·3/2=12
2^x=(12·2)/3
2^x=8
2^x=2³
x=3