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

Dirk Nowitzki of the Dallas mavericks scored 44 points in a recent basketball game. He scored no 3-point shots, but made a number of 2-point field goals and 1-p
how do you write a fraction as a mixed number
Serous membrane is what type? Epithelial or connective?
The volume of a rectangular prism is 270 cubic centimeters. The height of the prism is 5 centimeters. What should the length and width of the prism be? Explain
how were the oregon and santa fe trails different ?
Add and simplify 9/16 + 1/2= ?
differentiate benzene and cyclohexane
Dirk Nowitzki of the Dallas mavericks scored 44 points in a recent basketball game. He scored no 3-point shots, but made a number of 2-point field goals and 1-p
how do you write a fraction as a mixed number
Expand the expression 2(r - 4) + 5(r + 2). Express your answer in simplest form