Find the value of x satisfying log₂ log₃ log₄ x = 0 — JEE Mathematics
Find the value of $x$ satisfying $\log_2 \log_3 \log_4 x = 0$.
1 Answer
VAVidaara Admin
✓ Vidaara Team
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· 1mo ago
▲ 29
Convert the outermost logarithm to exponential form:
$$\log_3 \log_4 x = 2^0 = 1$$
Convert the next outermost logarithm:
$$\log_4 x = 3^1 = 3$$
Convert the final logarithm:
$$x = 4^3 = 64$$
Verification: $\log_4 64 = 3 \implies \log_3 3 = 1 \implies \log_2 1 = 0$. (Valid)
Answer: 64
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Discussion (2)
VN
For revision — the key formula used here comes up almost every year.
A
Tip for others: you can verify the answer quickly by checking the units.