fabiisawesome13 fabiisawesome13
  • 01-05-2022
  • Mathematics
contestada

Use log 2=a, log 3=b to evaluate log 216

Respuesta :

kalulesultan
kalulesultan kalulesultan
  • 01-05-2022

Answer:

answer = 3(a +b)

Step-by-step explanation:

[tex] log(2) = a \: log(3) = b \: \: \\ log(216) = log(2 \times 2 \times 2 \times 3 \times 3 \times 3) \\ = log( {2}^{3} \times {3}^{3} ) \\ = log(2^{3} ) + log( {3}^{3} ) \\ = 3 log(2) + 3 log(3) \\ = 3(a) + 3(b) \\ = 3(a + b) \\ \\ log(216) = 3(a + b)[/tex]

Answer Link

Otras preguntas

what is a good way to study
Which of the following statements is true? Question 19 options: Carbohydrates contain more energy that lipids because their bonds release more energy when broke
The "A" in ACL stands for
What equation shows an example of the associative property of addition
What is one half added to three quarters
Most people in Botswana earn their living doing which of the following?
Which of the following is inaccurate in relation to viruses? a. They feature a capsid. b. They seek a specific host. c. They have nucleic acid core. d. They rep
Which composer became an American citizen in 1940? -Richard Wagner -Ludwig von Beethoven -Igor Stravinsky -Claude Debussy
Who rescues the narrator from his prison, on the story "The Pit and the Pendulum?
Kaitlin buys 9/10 pound of orange slices. She eats 1/3 of them and divides the rest equally into three bags how much is in each bag