Răspuns:
Explicație pas cu pas:
1
lg(1-1/2)lg(1-1/3)....lg(1-1/100)=lg(100-ln100)
1/2+1/3+.....+1/100=ln100
ln100=lg100/lge=2/lg e
lg(100-ln100)=2/2/lg e=lg e
2
Ix-3I+I4-xI=1
Ix-3I=⇒x-3 pt x≥3
⇒⇒-x+3 pt x<3
I4-xI=⇒4-x pt x≤4
⇒ x-4 pt x>4
x......................0.............3........4..................................∞
x-3--------------------------0++++++++++++++++++++++
4-x+++++++++++++++++++++0-----------------------------
pentru x∈(-∞,3]
3-x+4-x=1 7-2x=1 2x=6 x=3
pentru x∈(3,4)
x-3+4-x=1 ecuatia nu are solutii
pentru x∈[4,∞)
x-3+x-4=1 2x-7=1 2x=8 x=4
