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Verified answer

3
4^lgx *3^lgx=144
12^lgx=12²
lgx=2
x=100
4
2^(x-1)=3^2x*2^4x/3^2x*2^(x+1)
2^(x-1)=2^4x *2^(x+1)
2^(x-1)=2^(5x+1)
x-1=5x+1
5x-x=-1-1
4x=-2
x=-0,5
5
log(30x+2+log(3)x=6
2log(3)x=4
log(3)x=2
x=9