Question
Express as sums, differences, and multiples of logarithms. Expand as much as possible.
ln(x^14 √x+15)/√(12x−2)^15)
this is what I got ?
14sqrt(x+15)ln(x)-15ln(12x-2)
check my work please and thanks
ln(x^14 √x+15)/√(12x−2)^15)
this is what I got ?
14sqrt(x+15)ln(x)-15ln(12x-2)
check my work please and thanks
Answers
Doesn't match my answer
ln(x^14 √(x+15) )/√(12x−2)^15) , notice I assumed it was √(x+15)
the way you had we would not have a product within the ln
= ln x^14 + ln (x+15)^(1/2) - ln (12x-2)^(15/2)
= 14 ln x + (1/2) ln (x+15) - (15/2) ln (12x - 2)
ln(x^14 √(x+15) )/√(12x−2)^15) , notice I assumed it was √(x+15)
the way you had we would not have a product within the ln
= ln x^14 + ln (x+15)^(1/2) - ln (12x-2)^(15/2)
= 14 ln x + (1/2) ln (x+15) - (15/2) ln (12x - 2)