Logarithms
GATE Electronics & Communication · 2 questions across 2 years (2024-2026) · 5% recurrence rate
Recurrence sparkline
2024–202620242026
Difficulty mix
med 100%
Question types
MCQ2
All 2 questions on Logarithms
2026 Q4
Real numbers y, p, and n (all greater than 1) satisfy $(\log_{p^{1/n}} y)(\log_{y^{1/n}} p) = 16$, where the logarithms are taken to the bases $p^{1/n}$ and $y^{1/n}$. The value of n is _________
Med✓
2024 Q4
For a real number x > 1, $\frac{1}{\log_2 x} + \frac{1}{\log_3 x} + \frac{1}{\log_4 x} = 1$. The value of x is
Med