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
The inequality that represents the possible combinations of candy bars and lollipops that he can buy is given by:

<h3>What is the inequality that models this situation?</h3>
The total price can be no more than $28, hence:

Each candy bar costs $0.45 and each lollipop costs $0.25. x is the number of candy bars and y of lollipops. Hence, the total price is given by:
T = 0.45x + 0.25y.
Hence, the inequality that models the situation is:

More can be learned about inequalities at brainly.com/question/25235995
I think the third one on both part a and b can't be used to find the answer
19.99 + 15= 34.99
40-34.99 = 12.51
Jenny received $5.01 change.