Answer: In 3 SOLVINGS What is 3 ln 3 - ln 9 expressed as a single natural logarithm
Since ln (m^n) = n⋅ln (m) … natural logarithmic property We can further simplify the expression 3 ln 3 3 In 3 = In (3^3) Therefore, 3 ln 3 - ln 9 = In (3^3) – In 9
Since ln(m/n) =ln(m) – ln(n) … natural logarithmic property We can further simplify the expression In (3^3) – In 9 In (3^3) – In 9 = In [(3^3)/(9)] = In (27/9) = In 3
Therefore, 3 ln 3 - ln 9 expressed as a single natural logarithm is In 3.
