Question

cat este x din ecuatia: 2 la puterea x ori 3 la puterea x +1=108

Answer 1

2^x × 3^(x+1)=108
108=2² × 3³
2^x=2²
x=2
3^(x+1)=3³
x+1=3
x=2

Answer 2

[tex]2^x\cdot3^{x+1}=108\\ 2^x\cdot3^x\cdot3=108 \;\;|_{:3}\\ (2\cdot3)^x=36\\ 6^x=6^2\Rightarrow\;x=2 [/tex]