Question

17. What expression is equivalent to log(200) - log (2)? Calculate the answer.

Answer 1

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 $10^{2}$

Recall from laws of Logarithms:

Log $a^{b}$ = b Log a

Therefore:

Log$10^{2}$ = 2 Log 10

Also from law of Logarithm

Log 10 = 1

Therefore 2 Log 10 = 2 x 1

= 2