Answer: The answer is given below.
Step-by-step explanation: We are given an equality involving logarithm and we are to show the implication of L.H.S. to R.H.S.
We will be using the following two properties of logarithm:
![(i)~\log_ba=\dfrac{1}{\log_ab},\\\\\\(ii)~log_ab+\log_ac=\log_a(bc).](https://tex.z-dn.net/?f=%28i%29~%5Clog_ba%3D%5Cdfrac%7B1%7D%7B%5Clog_ab%7D%2C%5C%5C%5C%5C%5C%5C%28ii%29~log_ab%2B%5Clog_ac%3D%5Clog_a%28bc%29.)
The proof is as follows:
![L.H.S.\\\\\\=\dfrac{1}{\log_2N}+\dfrac{1}{\log_3N}+\dfrac{1}{\log_4N}+\cdots+\dfrac{1}{\log_{100}N}\\\\\\=\log_N2+\logN3+\log_N4+\cdots+\log_N100\\\\=\log_N\{2.3.4...100\}\\\\=\log_N\{1.2.3.4...100\}\\\\=\log_N{100!}\\\\=\dfrac{1}{\log_{100!}N}\\\\=R.H.S.](https://tex.z-dn.net/?f=L.H.S.%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B%5Clog_2N%7D%2B%5Cdfrac%7B1%7D%7B%5Clog_3N%7D%2B%5Cdfrac%7B1%7D%7B%5Clog_4N%7D%2B%5Ccdots%2B%5Cdfrac%7B1%7D%7B%5Clog_%7B100%7DN%7D%5C%5C%5C%5C%5C%5C%3D%5Clog_N2%2B%5ClogN3%2B%5Clog_N4%2B%5Ccdots%2B%5Clog_N100%5C%5C%5C%5C%3D%5Clog_N%5C%7B2.3.4...100%5C%7D%5C%5C%5C%5C%3D%5Clog_N%5C%7B1.2.3.4...100%5C%7D%5C%5C%5C%5C%3D%5Clog_N%7B100%21%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B%5Clog_%7B100%21%7DN%7D%5C%5C%5C%5C%3DR.H.S.)
Hence proved.
You can find the answer by plugging in any of the multiple choice options into a,
when you square a number (^2), the result is always positive even if the number starts off negative,
-25 or 125 wouldn't work for this equation because the answer is too big
but when you plug -5 or 5 in you get the right answer, so the answer is c
Try to ask the teacher for help. I am sorry for the person that did not help you.
Answer:
if things have similarities that means that have certain things that are the same between them. not always are they the exact same thing
Step-by-step explanation:
The answer is 579cm of the triangular. prusm