Use the Laws of Logarithms to expand the expression lnr7s Us

Use the Laws of Logarithms to expand the expression. ln(r/7s) Use the Laws of Logarithms to expand the expression. ln(3x^4/(x + 9)^10)

Solution

ln(a/b) = ln a - ln b

So, ln(r/7s) = ln r - ln 7s

Use lnx^a = a lnx and ln(a/b) = ln a - ln b

ln(3x⁴/(x+9)¹⁰) = ln 3x⁴ - ln (x+9)¹⁰

= 4 ln(3x) - 10 ln(x+9)