meredith48034
meredith48034 meredith48034
  • 07-02-2020
  • Mathematics
contestada

Rewrite as a combination of multiple logarithms:

log_8 (10xy^3)

​

Rewrite as a combination of multiple logarithmslog8 10xy3 class=

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joseaaronlara
joseaaronlara joseaaronlara
  • 07-02-2020

Answer:

The answer to your question is letter B.   log₈10 + log₈x + 3log₈y

Step-by-step explanation:

Just remember the properties of logarithms

- The logarithm of a product is the sum of logarithms.

- The logarithm of a power is equal to the power times the log.

Then

                 log₈(10xy³)  =  log₈ 10 + log₈x + log₈y³

and finally

                                        log₈10 + log₈x + 3log₈y

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