Question

Write 2 In 6 + 3 In 4 - 5 In (1/3) as a single logarithm

Answer 1

ln 559872

Explanation:

2 In 6 + 3 In 4 - 5 In (1/3) = ln 6² + ln 4³ - ln (⅓)⁵

= ln 36 + ln 64 - ln 1/243

= ln [(36×64)/(1/243)]

= ln 559872