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:
D 9/26
Step-by-step explanation:
Out of the 10th graders there are 104 total responses. Knowing we only need data from 10th graders we can ignore everything else. 36/104 10th graders like cats and if you divide that by 4 you'll get the only possible answer of 9/26. D 9/26 10th graders like cats.
Answer:
x ≤ 90?
Step-by-step explanation:
compare the divisor x-3 with x-a which will give a=3 and then use remainder theorem.