contestada

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)

Respuesta :

Answer:

C

Step-by-step explanation:

Using the rules of logarithms

loga + logb = log(ab)

loga - logb = log([tex]\frac{a}{b}[/tex] )

log[tex]x^{n}[/tex] ⇔ nlogx

Given

4lnx + ln3 - lnx

= 3lnx + ln3

= lnx³ + ln3

= ln(x³ × 3)

= ln(3x³) → C

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