Question

Solve 14x + 1 = 36. Round to the nearest ten-thousandth.

Answer 1

Answer:

X=2.5

Step-by-step explanation:

14x +1 =36

14x + 1 =36

      - 1 = 36

14x = 35

14x / 2 = 35 / 2

x = 2.5

Answer 2

Answer:

x≈ 3.2056

Step-by-step explanation:

Set both sides by log.  Then, solve for x.

1. 14^(x + 1) = 36

(x + 1)log(14) = log(36)

x + 1 = log(36)/log(14) . . . Divide both sides by log(14)

x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.

x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.

Note that the second problem is similar  to the first.

2. 12^(y - 2) = 20

(y - 2)log(12) = log(20)

y - 2 = log(20)/log(12)

y = log(20)/log(12) + 2

y ≈ 3.2056