compress the expression into a single logarithm with no coefficent:

Question

show step by step work:

-2lnx+3ln3-(5lnx+2lny)

Answer 1

lnx^-2 + ln3³ - lnx⁵ - lny² = ln(27x^-2/x⁵y²) = ln(27/x⁷y²)

Answer 2

-2 ln x + 3 ln 3 - (5 ln x + 2 ln y)

-2 ln x + 3 ln 3 - 5 ln x - 2 ln y

ln x^-2 + ln 3³ - ln x⁵ - ln y²

ln [9x² / x⁵y²]