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

why is this scientific notation: 12,050,000 = 1.25×107 wrong
Which country was the first to industrialize in Europe?
MUTIPLE CHOICE AND GIVE A BRIEF EXPLANATION PLEASE!!!
Which of the following will cause an increase in the mass of an object? (1 point) a b Increase in the gravitational pull Decrease in the gravitational pull Incr
Please help I’ll give you Brainliest
hii gys plz follow me​
Determine the end behavior, number of zeros, and maximum number of turns for the given function. h(x)=3x^3-2x^2-12x+8
Which of the earth's changes can be explained by the plate tections Multiple answers Earthquakes Erosion Mountain ranges Ocean trenches Volcanoes Wind Weatherin
Let f(x) = 5 - x and g(x) = 2x - 1. Perform the following operation: (g - f)(x).
Why was the Gandhi irwin pact important