The formulas:
![\log_a (xy)=\log_a x + \log_a y \\ \log_a (\frac{x}{y})=\log_a x - \log_a y \\ \log_a (x^n)n \log_a x](https://tex.z-dn.net/?f=%5Clog_a%20%28xy%29%3D%5Clog_a%20x%20%2B%20%5Clog_a%20y%20%5C%5C%0A%5Clog_a%20%28%5Cfrac%7Bx%7D%7By%7D%29%3D%5Clog_a%20x%20-%20%5Clog_a%20y%20%5C%5C%0A%5Clog_a%20%28x%5En%29n%20%5Clog_a%20x)
Expand the expression:
![\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p](https://tex.z-dn.net/?f=%5Clog_b%20%28%5Cfrac%7Bm%5E2n%7D%7Bp%7D%29%3D%5Clog_b%20m%5E2%20%2B%20%5Clog_b%20n%20-%20%5Clog_b%20p%3D%202%20%5Clog_b%20m%2B%5Clog_b%20n%20-%20%5Clog_b%20p)
Plug the values into the expression:
Answer: 2 days
Step-by-step explanation:
The monkeys eat 3 ²/₃ buckets of bananas each day. Convert this to an improper fraction:
= 3²/₃ = 11/3 buckets per day
The zookeeper bought 7¹/₃ which is:
= 22/3 buckets
To find out the number of days the bananas will last, divide the buckets bought by the buckets eaten per day:
= 22/3 ÷ 11/3
= 22/3 * 3/11
= 66/33
= 2 days
<em>If dividing fractions, multiply by the reciprocal of the second fraction. </em>
Answer:
it's 47÷4=11 3/4 will be your final answer
Answer:
Step-by-step explanation:
The sum of the angles is ...
x° + (x +8)° + 2x° = 180°
4x +8 = 180 . . . . . . . . . . . collect terms, divide by °
x +2 = 45 . . . . . . . . . . divide by 4
x = 43 . . . . . . . . . . subtract 2
x +8 = 51
2x = 86
The angles are 43°, 51°, 86°.