Question

Which of the following logarithms are irrational numbers?

• A. ${\log }_{5}325$
• B. ${\log }_{10}5$
• C. ${\log }_{2}512$
• D. ${\log }_{2}3$

Answer 1

Answer: (A), (B), (D)

The correct options are
A ${\log }_{5}325$
B ${\log }_{10}5$
D ${\log }_{2}3$

$lo{g}_{2}3$ and $lo{g}_{5}325$ are irrational, as $512=2^{10}$.