rudwn4wizard1
rudwn4wizard1 rudwn4wizard1
  • 17-01-2024
  • Mathematics
contestada


Which of these expressions is equivalent to log (12/5)?
O A. log (12) + log (5)
OB. 12. log (5)
O C. log (12) - log (5)
OD. log (12) log (5)

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sqdancefan
sqdancefan sqdancefan
  • 17-01-2024

Answer:

   C. log (12) - log (5)

Step-by-step explanation:

You want the expression equivalent to log(12/5).

Logarithms

The relevant rule of logarithms is ...

  log(a/b) = log(a) -log(b)

Application

For a=12, b=5, we have ...

  log(12/5) = log(12) -log(5) . . . . matches choice C

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Additional comment

A logarithm is essentially an exponent. The rules of logarithms match the rules for exponents:

  (x^a)/(x^b) = x^(a-b)

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