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

The value of x must be greater than 100.

Step-by-step explanation:

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

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

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

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.