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

Who, in ladies figure skating, holds the current world record?
Verb form of present progressive tense swim
what is 5 fifths of £65 - 20
what is the shape called that has 16 sides
12 to Write the equation of the plane passing through the points M(1, 2, 0) and N(2, 1, 1) parallel to the vector
Which value of m will create a system of parallel lines with no solution? y = mx – 6 8x – 4y = 12 m =
Which could be the measures of the three angles of an acute triangle? a. 40 , 90 , 50 b. 70 , 80 , 30 c. 25 , 25 , 130 d. 45 , 45 , 90
how would you write the number 421.5 in expanded form
Which statement about one atom of an element identifies the element?(1) The atom has 1 proton. (2) The atom has 2 neutrons.(3) The sum of the number of protons
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms