log(log x)=4

Question

The equation is supposed to be solved without the calculator. Please help!

Answer 1

The definition of log, or common log is 10 based log, is the exponent, which if we raise 10 to the exponent it would give us back the original value.

so log(log x) = 4 therefore 10^4 = log x

Repeating the same process:

x = 10^ 10^4 = 10^10000

 

x is a very large number.