Answer:
Step-by-step explanation:
The given expression is : 
We need to simplify the above expression.
We know that, 
or
So, the simplified form of the given expression is 
. Hence, the correct option is (A).
Given:
Consider the equation is:
To prove:
by using the properties of logarithms.
Solution:
We have,
Taking left hand side (LHS), we get
![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)
![[\because \log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20x%5En%3Dn%5Clog%20x%5D)
Hence proved.
Answer:
169 sections
Step-by-step explanation:
A couple wants to install hardwood into their bedroom. The wood is bought in 0.5×5 square foot pieces
The area of the 0.5×5 square foot pieces
Area= 0.5*5.
Area= 2.5 square feet
They have 422 square feet of floor on which to install the hardwood.
Number of sections to be purchased
= 422/2.5
= 168.8 sections
Approximately= 169 sections
Let same number of hours = x,
since the salary earned is also the same, then
Salary of supervisor A = $25x
Salary of supervisor B = $20(30)+$30(x-30)
Equating
25x=600+30(x-30)
30x-25x=900-600
5x=300
x=60 hours
Check:
Salary of supervisor A = 25*60=1500
Salary of supervisor B = 20*30+30*(60-30)=600+900=1500, ok.
