jamesr69 jamesr69
  • 09-06-2020
  • Mathematics
contestada

Express loga 6 + loga 70 as a single logarithm

Respuesta :

annaboglino
annaboglino annaboglino
  • 09-06-2020

Answer:

logₐ(420)

Step-by-step explanation:

Answer Link
CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 09-06-2020

Answer:

The answer is

[tex] log_{a}(420) [/tex]

Step-by-step explanation:

You have to use Logarithm Law,

[tex] log_{a}(b) + log_{a}(c) ⇒ log_{a}(b \times c) [/tex]

* Take note, number b and c can only be multiplied when they have the same base, a

So for this question :

[tex] log_{a}(6) + log_{a}(70) [/tex]

[tex] = log_{a}(6 \times 70) [/tex]

[tex] = log_{a}(420) [/tex]

Answer Link

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