F1DDLEPAT
F1DDLEPAT F1DDLEPAT
  • 17-03-2021
  • Mathematics
contestada

what is the solution to the equation below round your answer to two decimal places 5+6*log2x=14

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 17-03-2021

9514 1404 393

Answer:

  2.83 for log2(x)

  15.81 for log(2x)

Step-by-step explanation:

We can get the log function by itself by subtracting the constant and dividing by the coefficient.

  5 +6·log2x = 14

  6·log2x = 9 . . . . . . . subtract 5

  log2x = 1.5 . . . . . . . divide by 6

At this point, we're not sure what is meant by log2x.

  log₂(x) = 1.5   ⇒   x = 2^1.5 ≈ 2.83

  log(2x) = 1.5   ⇒   x = (10^1.5)/2 ≈ 15.81

Answer Link

Otras preguntas

what is the square root of 216?
During the 1840s Americans used the idea of manifest destiny to justify the what?1. Expansion of women's rights2. Aquairing of new territory3. Beginning of free
What is 32/44 in its simplest form?
Laura  earns $ 255 by working 20 hours each week .Part A Write an equation to find how much Laura earns per hour. Use H to represent the hourly Equation Part B
You pull your sled through the snow a distance of 500 meters with a horizontal force of 200 newtons. How much work did you do?
Persuasive exposition writing:Endangered Animals Need Our Protection.
In what areas did Americans push for reforms?
Which sentence does not contain any punctuation errors?   A. This is a familiar story; it needs no introduction.
-87 1/8 as a decimal number
How did the division of Europe between Catholicism and Protestantism affect the distribution of religions in the new world?