bbyjj12 bbyjj12
  • 26-03-2021
  • Mathematics
contestada

Condense the expression in a single logarithm: 6log3m + 2log3n – 4log3p

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 26-03-2021

9514 1404 393

Answer:

  log3(m^6n^2/p^4)

Step-by-step explanation:

The applicable rules of logarithms are ...

  log(a^b) = b·log(a)

  log(ab) = log(a) +log(b)

  log(a/b) = log(a) -log(b)

_____

We assume you want to condense ...

  [tex]6\log_3(m)+2\log_3(n)-4\log_3(p)=\boxed{\log_3\left(\dfrac{m^6n^2}{p^4}\right)}[/tex]

Answer Link

Otras preguntas

Assume you are Andy Pforzheimer, owner of Barcelona Restaurants, and you are involved in intense conflict with one of your restaurant managers. You realize that
Skysong, Inc. began the year with 9 units of marine floats at a cost of $12 each. During the year, it made the following purchases: May 5, 28 unit at $16; July
Does anyone know this? Options: 5,6,or 10
Answer to the question
Interest group: What makes them successful? What are the activities that they must participate in order for them to be successful?
which 2 lines in the poem a shadow by henry wadsworth indicate its theme​
1/4e-2f - 1/f-2e what is the answer?
A customer borrows $450 at 5% interest compounded annually
he fell off his bike change into negative.? ​
A book of ___________ is usually written by a single author, while __________ Are handed down through the generations. A) fiction; folk tales B) folk tales; fic