2015ashling 2015ashling
  • 11-11-2020
  • Mathematics
contestada

4. The difference log2 (3) - log2 (12) is equal to

Respuesta :

altavistard
altavistard altavistard
  • 11-11-2020

Answer:

Step-by-step explanation:

-2

Apply this particular rule of logs:

log a - log b = log a/b

Therefore, log2 (3) - log2 (12) = log2 (3/12) = log2 (1/4)

This last result simplifies to  log2 1 - log2 4 = 0 - 2 = -2

Answer Link
Wolfyy
Wolfyy Wolfyy
  • 11-11-2020

Answer:

-2

Step-by-step explanation:

[tex]log_2(3)-log_2(12)[/tex]

~Simplify using log properties

[tex]log_2(\frac{3}{12})[/tex]

[tex]log_2(\frac{1}{4})[/tex]

~Apply log rules

[tex]-log_2(4)[/tex]

~Rewrite

[tex]-log_2(2^2)[/tex]

~Apply log rules

[tex]-2log_2(2)[/tex]

~Apply log rules

-2 * 1

~Simplify

-2

Best of Luck!

Answer Link

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