How do you solve for x?
Given: \(\log(\log X) = 3\)
Answer (2)
0 \wedge \log x>0\\ D:x>0 \wedge \log x>\log 1\\ D:x>0 \wedge \log x>1\\ D:x>1\\ 10^3=\log x\\ \log x=1000\\ x=10^{1000}"> lo g ( lo g x ) = 3 D : x > 0 ∧ lo g x > 0 D : x > 0 ∧ lo g x > lo g 1 D : x > 0 ∧ lo g x > 1 D : x > 1 1 0 3 = lo g x lo g x = 1000 x = 1 0 1000
To solve lo g ( lo g X ) = 3 , we first convert it to lo g X = 1000 and then to X = 1 0 1000 . This shows that the value of X is an exponentiation based on the logarithmic identity. Hence, the solution is X = 1 0 1000 .
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