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)

![\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)

Hence proved.
Answer:
The mean cholesterol levels
= 173873.7
Step-by-step explanation:
For The mean
The mean is going to be sum of the numbers divide by the number
Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10
Mean =1738737/10
= 173873.7
For Median
Wee arrange ascending order
130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240
Median = (165165+170170)/2
Median = 335335/2
Median = 167667.5
Mode = 130130
The answer to this problem is the letter "A" which is "Multiply by 3, then add 2"
and can be written a N = 3n + 2
At first, we have initial value such n = 1
Then the second value is:
N = 3*1 + 2
N = 5
The third value is:
N = 3*5 + 2
N=17
The next values are:
N = 3*17 + 2
N= 53
The letter "A" is the inductive reasoning to the given sequence.
Answer:
The greatest common factor would be 12.
Step-by-step explanation:
24: 1, 2, 3, 4, 6, 8, <u><em>12</em></u>, 24
60: 1, 2, 3, 4, 5, 6, 10 , <u><em>12</em></u>, 15, 20, 30, 60
Hope it helps!
Let x = price of the bike before a sales tax.
The price after a sales tax of 8% is
x + 0.08x = 1.08x dollars
Because the price paid was $171.18, therefore
1.08x = 171.18
x = 171.18/1.08 = $158.50
Answer: 158.50