The logarithm of x, written log(x), tells you the power to which you would raise 10 to get x. so, if y=log(x), then x=10^y. it is easy to take the logarithm of a number such as 10^2 because you can directly see what power 10 is raised to. that is, log(10^2)=2. what is the value of log(1,000,000)?

6

Explanation:

The function which is inverse to exponentiation is called logarithm.

It is of the form

The 10 here is the base of the logarithm. The logarithm with base 10 is called common logarithm

So, log(1,000,000) = 6

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .