Logarithm Level - 2

(log₅ 3) × (log₃ 625) equals

(log₅ 5)(log₄ 9)(log₃ 2) is equal to

If log₁₂ 27 = a, then log₆ 16 is

If log₁₀ 5 + log₁₀ (5x + 1) = log₁₀ (x + 5) + 1, then x is equal to

 If log₅ (x² + x) – log₅ (x + 1) = 2, then the value of x is

\( \dfrac{1}{2}(\log x+\log y)=\log\left(\dfrac{x+y}{2}\right) \)

if

The value of 

\( \dfrac{1}{\log_{3}60}+\dfrac{1}{\log_{4}60}+\dfrac{1}{\log_{5}60} \) is

The value of (log₃ 4)(log₄ 5)(log₅ 6)(log₆ 7)(log₇ 8)(log₈ 9) is

The value of 16^{(log₄ 5)} is.  

If log x + log y = log (x + y), then