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.
[tex]log(x)>2[/tex]
According to the property of logarithm, if a is a real number.
[tex]log(x)=a \Rightarrow x=10^a[/tex]
Using the above property of logarithm, the given inequality can be rewritten as
[tex]x>10^2[/tex]
[tex]x>100[/tex]
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.
