The value of log 500 - log 5 is?

Anas · 8 May 2024

We have to find the value of log500 . We can write log500 as log(5×100) i.e., ⇒log(500)=log(5×100) Now using the product rule i.e., logb(mn)=logb(m)+logb(n) , we can write ⇒log(500)=log(5)+log(100) We can write log(100) as log(102) . So, we get ⇒log(500)=log(5)+log(102) Using the Power rule i.e., logb(mp)=plogbm we can write ⇒log(500)=log(5)+2log(10) Given, log5=a and also, we know that logaa=1 Using this we get ⇒log(500)=a+2 Therefore, if log5=a then log500 is (a+2)

Khushvan · 8 May 2024

With solution please