Question

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

Answer 1

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