joasalazar190217 joasalazar190217
  • 03-12-2021
  • Mathematics
contestada

Write 3log7x-4log7y as a single logarithm.

Respuesta :

ophysto
ophysto ophysto
  • 03-12-2021

Answer:

[tex]3\log7x - 4\log7y = log(\frac{x^3}{7y^4} )[/tex]

Step-by-step explanation:

The given logarithm can be re-written as:

[tex]\log(7x)^3 - log(7y)^4[/tex]

For the power property:

[tex]\log_ba^c = c\log_ba[/tex]

Know for the quotient property you get:

[tex]log_ba - log_bc = log(\frac{a}{c} )[/tex]

[tex]\log{\frac{(7x)^3}{(7y)^4} } =\log{\frac{7^3x^3}{7^4y^4} } =\log{\frac{x^3}{7y^4} }[/tex]

so the final answer is [tex]\log{\frac{x^3}{7y^4} }[/tex]

Answer Link

Otras preguntas

Write an equation in point-slope form for the line through the given point with the given slope. (9,-1); m=4/3. I need help!
What's a Protective tariff?
Which poem-turned-song, written by Katharine Lee Bates, was originally called “Pikes Peak” and describes our country’s natural splendor and the patriotism of i
What iconic July 4th edible was nicknamed by sports cartoonist Tad Dorgan? a. hot dog b. popsicle c. pop
what is the 14 the amendment
IDEAS FOR RECONSTRUCTION, explain why they are good ideas?
This state and river share a name, which comes from an Indian word meaning “Father of Waters.”
The Virginia town where Robert E. Lee surrendered to Ulysses S. Grant in 1865, ending the Civil War
Snap, crackle, pop! Name the cereal capital of the world: a. Kellogg, Minn. b. Battle Creek, Michigan c. General Mills, Idaho
The point where the two axes intersect (0,0).