Tutor profile: Skyler C.

Evaluate the logarithm: \log _{5} 3125

1. Set \log _{5} 3125 = x 2. Evaluate means solving for x. We know that logarithms have the property of \log _{a} b = x, then a^x = b. Thus, we re-arrange: 5^x = 3125 3. Through estimating, we know 5^5 = 3125, thus: 5^x = 5^5 4. Therefore, x must equal to 5

Solve: - 9x + 4x = -15

1. Begin by combining like terms (e.g terms that have the same variable, like x) - 9x + 4x = -5x 2. Now we have -5x = -15. Dividing both sides by -5, we obtain: x = 3 Solution: x = 3

\They had never before been\ in a museum with such an extensive collection, they had a difficult time deciding how to make the most of the limited time they could spend there. A. No Change B. They never before were C. Because of never before being D. Never before having been

The underlined text creates a comma splice, so the only answer that works is the one that turns the introduction into a phrase, thus the answer is D: Never before having been in a museum with such an extensive collection, they had a difficult time deciding how to make the most of the limited time they could spend there.