Answer: 2
Step-by-step explanation:
Recall from the laws of Logarithms:
Log a - Log b = Log ( a/b )
That means
Log 200 - Log 2 = Log ( 200/2)
= Log 100 , which could be written as
Log [tex]10^{2}[/tex]
Recall from laws of Logarithms:
Log [tex]a^{b}[/tex] = b Log a
Therefore:
Log[tex]10^{2}[/tex] = 2 Log 10
Also from law of Logarithm
Log 10 = 1
Therefore 2 Log 10 = 2 x 1
= 2