Question

Which of the following expressions is equivalent to the logarithmic expression below?ln 5 + ln 3A.ln 53B.ln 35C.ln 15D.ln 8

Answer 1

To solve the problem, we will use the following property of logarithms. Given positive numbers a and b, we have that

`ln(a\cdot b)=ln(a)+ln(b)`

in our case, we have a=5 and b=3. So we have

`ln(3\cdot5)=ln(3)+ln(5)`

so we have

`ln(15)=ln(3)+ln(5)`

which is option C