Question

What values must x have so that log (x) is greater than 2? justify your answer

Answer 1

The value of x must be greater than 100.

Explanation:

We need to find the value x for which the value of log(x) is greater than than 2.

`log(x)>2`

According to the property of logarithm, if a is a real number.

`log(x)=a \Rightarrow x=10^a`

Using the above property of logarithm, the given inequality can be rewritten as

`x>10^2`

`x>100`

We conclude that the value of log(x) is greater than 2 for real values of x which are greater than 100.

Therefore, the value of x must be greater than 100.