liyahisspecial liyahisspecial
  • 12-07-2020
  • Mathematics
contestada

Choose the single logarithmic expression that is equivalent to the one shown.

log2 6 + log2 2 − log2 8

Choose the single logarithmic expression that is equivalent to the one shown log2 6 log2 2 log2 8 class=

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HumanBein
HumanBein HumanBein
  • 12-07-2020

Answer:

C. log2 3/2.

Step-by-step explanation:

When you are adding two logs with the same base, you multiply.

So, log2 6 + log2 2 = log2 6 * 2 = log2 12

When you subtract two logs with the same base, you divide.

So, log2 12 - log2 8 = log2 12 / 8 = log2 3/2

The answer is C. log2 3/2.

Hope this helps!!

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zahzana
zahzana zahzana
  • 12-07-2020
its C because the base of the log is all same. of its + you have to multiply and if its - you have to divide. so (6 times 2 divide 8 ) youll get 3 over 3
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