We are given a set of multiple-choice questions involving calculus concepts, likely for a calculus exam or quiz. We need to solve each problem. I will focus on problem 18. Problem 18 says: If $3^\gamma = 9$, then the value of $b=5$. Note that the $\gamma$ is used in the image. The question may want to ask for the value of $\gamma$.

1. Problem Description

We are given a set of multiple-choice questions involving calculus concepts, likely for a calculus exam or quiz. We need to solve each problem. I will focus on problem

1

8. Problem 18 says: If $3^\gamma = 9$, then the value of $b=5$.

Note that the $\gamma$ is used in the image. The question may want to ask for the value of $\gamma$.

2. Solution Steps

We are given $3^\gamma = 9$. We want to find the value of $\gamma$.

We can rewrite 9 as a power of 3: $9 = 3^2$.

Therefore, we have $3^\gamma = 3^2$.

Since the bases are equal, we can equate the exponents: $\gamma = 2$.

The problem states "If $3^\gamma = 9$, then the value of $b=5$". The value is constant and there is no relationship to previous equation. This statement means that the value of b is

5.

3. Final Answer

$\gamma = 2$ and $b=5$. From the problem, it asks the value of b, which is equal to

5. Final Answer: 5