Penrdeezyelieshi Penrdeezyelieshi
  • 21-11-2016
  • Mathematics
contestada

Write log3 6 as a logarithm of base 2.

1) (log2)3/(log2)6
2) (log2)6/(log2)3
3) (log3)2/(log6)2
4) (log6)2/ (log3)2 ...?

Respuesta :

JcAlmighty
JcAlmighty JcAlmighty
  • 22-11-2016
The answer is 2) (log2)6/(log2)3.

Use the change-of-base formula: [tex]log_a(x)= \frac{log_b(x)}{log_b(a)} [/tex]

So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:
[tex]log_3(6)= \frac{log_2(6)}{log_2(3)}[/tex]
Answer Link
Raimi Raimi
  • 12-01-2021

Answer:

B. (log2)6

(log2)3

is your answer

Answer Link

Otras preguntas

Which statement could the expression n + 1 represent?
What describes a trait from a recessive gene
At project initiation: Select one: a. Few cost reduction opportunities exist and the cost of each change is large b. Few cost reduction opportunities exist and
What kind of question allows you to find out the ways an event happened :
What multiple by 6 gives me 720
What is NOT a major factor that greatly influences an industry's location within a nation? A) proximity to markets B) history of the industry C) transportatio
tan^3(x) =1/3tan(x) all the solutions
The biosphere is made up of parts of which three layers ?
What type of construction is this an example of? Why might this type of construction be chosen?
Solutions to the equation x ^2-9x=0