Answer :
Answer:
ln(4) -3ln(1/3) + ln(2) = ln(216)
Step-by-step explanation:
Hi there!
First, let´s write the expression:
ln(4) -3ln(1/3) + ln(2)
Apply the logarithm property: a ln(x) = ln(xᵃ)
ln(4) - ln(1/3³) + ln(2)
ln(4) - ln(1/27) + ln(2)
Apply the logarithm property: ln(a) - ln(b) = ln(a/b)
ln(4/(1/27)) + ln(2)
ln(108) + ln(2)
Apply the logarithm property: ln(a) + ln(b) = ln(a·b)
ln(108 · 2) = ln(216)
Have a nice day!