bribris730 bribris730
  • 12-11-2019
  • Mathematics
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17. What expression is equivalent to log(200) - log (2)? Calculate the answer.

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bayosanuade
bayosanuade bayosanuade
  • 12-11-2019

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

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