Respuesta :

mamarshall2002

Answer:

The answer is 0.585.

Step-by-step explanation:

q+logbase2 6=2q+2

The binary logarithm of 6 is 2.585 .

2q - q = 2.585 - 2

q = 0.585

Eduard22sly

The value of q in the equation given from the question is 0.585

Data obtained from the question

  • q + Log₂ 6 = 2q + 2
  • Value of q =?

How to determine the value of Log₂ 6

Log₂ 6 = n

6 = 2ⁿ

Take the log of both side

Log 6 = Log 2ⁿ

Log 6 = nLog 2

Divide both side by log 2

n = Log 6 / Log 2

n = 2.585

Thus,

Log₂ 6 = 2.585

How to determine the value of q

  • q + Log₂ 6 = 2q + 2
  • Log₂ 6 = 2.585
  • Value of q =?

q + Log₂ 6 = 2q + 2

q + 2.585 = 2q + 2

Collect like terms

2.585 – 2 = 2q – q

0.585 = q

q = 0.585

Learn more about logarithm expression:

https://brainly.com/question/7302008

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