Use the properties of logarithms to condense the expression. (Assume x > 5.)

Question

Use the properties of logarithms to condense the expression. (Assume x > 5.)

5[2 ln(x) − ln(x + 5) − ln(x − 5)]

Answer 1

5[2 ln x - ln(x+5) - ln(x-5)= 5 ln [x²/(x²-25)]

You can leave the 5 as a multiplier or you can bring it into the exponent of the fraction.