Answer:
![\log_{2} [\frac{x^{3}(x + 4)}{3}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%28x%20%2B%204%29%7D%7B3%7D%5D)
Step-by-step explanation:
We have to write the following logarithmic expression as a single logarithm.
The given expression is
![3\log_{2} x - [\log_{2} 3 - \log_{2}(x + 4)]](https://tex.z-dn.net/?f=3%5Clog_%7B2%7D%20x%20-%20%5B%5Clog_%7B2%7D%203%20-%20%5Clog_%7B2%7D%28x%20%2B%204%29%5D)
= 
{Since,
, from the properties of logarithmic function }
= 
{Since,
, which also a logarithmic property}
= ![\log_{2} [\frac{x^{3}}{\frac{3}{x + 4}}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%7D%7B%5Cfrac%7B3%7D%7Bx%20%2B%204%7D%7D%5D)
=
(Answer)
Answer:
100
Step-by-step explanation:
200+3qq+400+q3q
200+3q²+400+3q²
3q²-3q²+400-200
q²=200
q²=200/2
q²=100
Answer:
7.4825 km or 7.48 km (rounded to nearest hundredth)
Step-by-step explanation:
<u>Ranch's measurements rounded up to the nearest hundredth:</u>
1st measurement =
= 7.75 km
2nd measurement =
= 7.25 km
3rd measurement = 7.3(recurring) = 7.33 km
4th measurement = 7
= 7.60
<u>The average of the four measurements is:</u>
(7.75 + 7.25 + 7.33 + 7.60) ÷ 4 = 7.4825 km or 7.48 km (rounded to nearest hundredth)