Question

What is the solution to the equation below 5+6•log2 x=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