Question

Which expression is equivalent to the given expression?

4 ln x+ In 3 – In x

A. In(3x+3)
B. In(x^4 - x+3)
C. In(3x^3)
D. In(11x)

Answer 1

C

Explanation:

Using the rules of logarithms

loga + logb = log(ab)

loga - logb = log(
`(a)/(b)` )

log
`x^(n)` ⇔ nlogx

Given

4lnx + ln3 - lnx

= 3lnx + ln3

= lnx³ + ln3

= ln(x³ × 3)

= ln(3x³) → C