Question

Which expression is equivalent to the given expression?

Answer 1

Answer:

C

Step-by-step explanation:

Using the rules of logarithms

loga + logb = log(ab)

loga - logb = log($\frac{a}{b}$ )

log$x^{n}$ ⇔ nlogx

Given

4lnx + ln3 - lnx

= 3lnx + ln3

= lnx³ + ln3

= ln(x³ × 3)

= ln(3x³) → C