Answer:
The fraction 924 simplifies to 38 .
Step-by-step explanation:
plz forgive me if I my answer is wrong
I. 3*2^0
II. 3*2^1
III 3*2^2
IV. 3*2^3
V. 3*2^4
VI. 3*2^5
The sum 3*(2^0+2^1+2^2+2^3+2^4+2^5)=3*(2^6-1)=3*(64-1)=3*63=189
D is the answer
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)