log(logx)=2
To solve the equation log(log(x)) = 2, we can follow these steps:
Step 1: Rewrite the equation using exponential form. In exponential form, log(base, x) = y is equivalent to base^y = x.
So, in our case, we can rewrite log(log(x)) = 2 as 10^2 = log(x).
Step 2: Simplify the equation. 10^2 is 100, so we now have 100 = log(x).
Step 3: Rewrite the equation again in exponential form. In this case, log(x) = y is equivalent to x = 10^y.
So, 100 = log(x) becomes x = 10^100.
The answer to the equation log(log(x)) = 2 is x = 10^100.