Natural Logarithms Practice: Expanding and Condensing

• ln(6) + 4ln(x) + 3ln(y)

• ln(8) + 3ln(x) + 4ln(y) + ln(z)

• ln(8) + ln(x) + ln(y) + ln(z)

• ln(8) + 3ln(x) + 4ln(y)

• 5ln(x) + 6ln(y) - ln(3) - 8ln(x)

• 5ln(x) + 6ln(y) + ln(3) + 8ln(x)

Condense the logarithm: 3lnx + 2lny

• ln(3x+2y)

Simplify the expression: 5 ln x - 3 ln(x - 2) = ______

Simplify the expression: 3 ln(xy) - ln z = ______