Answer:
The answer for log(ab²) is x + 2y.
Step-by-step explanation:
You have to apply Logarithm Law,
![log(a) + log(b) \: ⇒ \: log(a \times b)](https://tex.z-dn.net/?f=%20log%28a%29%20%20%2B%20%20%20log%28b%29%20%5C%3A%20%20%E2%87%92%20%5C%3A%20%20log%28a%20%5Ctimes%20b%29%20)
![log( {a}^{n} ) \: ⇒ \: n log(a)](https://tex.z-dn.net/?f=%20log%28%20%7Ba%7D%5E%7Bn%7D%20%29%20%20%5C%3A%20%E2%87%92%20%5C%3A%20n%20log%28a%29%20)
In this question, you have to seperate it out :
![log(a {b}^{2} ) = log(a) + log( {b}^{2} )](https://tex.z-dn.net/?f=%20log%28a%20%7Bb%7D%5E%7B2%7D%20%29%20%20%3D%20%20log%28a%29%20%20%2B%20%20log%28%20%7Bb%7D%5E%7B2%7D%20%29%20)
![log( {b}^{2} ) = 2 log(b)](https://tex.z-dn.net/?f=%20log%28%20%7Bb%7D%5E%7B2%7D%20%29%20%20%3D%202%20log%28b%29%20)
![let \: log(a) = x](https://tex.z-dn.net/?f=let%20%5C%3A%20%20log%28a%29%20%20%3D%20x)
![let log(b) = y](https://tex.z-dn.net/?f=let%20log%28b%29%20%20%3D%20y)
![log(a {b}^{2} ) = log(a) + 2 log(b)](https://tex.z-dn.net/?f=%20log%28a%20%7Bb%7D%5E%7B2%7D%20%29%20%20%3D%20%20log%28a%29%20%20%2B%202%20log%28b%29%20)
![log(a {b}^{2} ) = x + 2y](https://tex.z-dn.net/?f=%20log%28a%20%7Bb%7D%5E%7B2%7D%20%29%20%20%3D%20x%20%2B%202y)
Answer:
11 meters
Step-by-step explanation:
500 cm = 5 meters
6m + 5m = 11m
Answer:
18. 20,000.
19. 0
7. 1
11. 101
Step-by-step explanation:
18. I think is stays the same, because an integer is a number that is not a fraction. So still 20,000.
19. Sea level is at zero altitude. So answer is 0.
7. |17-16| = |1| = 1. The lines around it are called absolute value signs and mean to make the answer positive.
11. |-101| = 101. As said before the lines mean to make the inside part positive.