# Tutor profile: Serena B.

## Questions

### Subject: Pre-Calculus

What is log base 3 of 27?

Let's rewrite this question to make it a little easier. 3^(x) = 27 Now, we solve for x. Before this, we should rewrite 27 with the equivalent base of 3. 27 = 3 * 3 * 3 or 3^(3) Now, we have 3^(x) = 3^(3) We can see that x is equivalent to 3. So, log base 3 of 27 equals 3

### Subject: Basic Math

Sally has 5 oranges and Amanda has 3 apples. How many pieces of fruit do they have altogether?

Since the question is asking for pieces of fruit, we can add oranges and apples together. 5 + 3 = 8 So, Sally and Amanda have 8 pieces of fruit altogether!

### Subject: Algebra

Simplify the following expression: 2(a - 4) + 3b - 2(a - b - 2) + 5

Let's use PEMDAS! First, we check if there is any simplification to be done within the parentheses. Since there isn't, we move on to exponents. We see that there are none in this expression. Now, let's perform multiplication or division: 2a - 8 + 3b - 2a + 2b + 4 + 5 Finally, combine like terms with addition or subtraction: 5b + 1

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