Question

Rewrite the expression in terms of in 2 and in 3
In(36)

Answer 1

Explanation:

36 = 4×9 = 2×2×3×3

so,

ln(36) = ln(2×2×3×3) = ln(2) + ln(2) + ln(3) + ln(3) =

= 2×ln(2) + 2×ln(3) = 2×(ln(2) + ln(3))