Which expression is equivalent to log18 - log (p + 2) ?

log StartFraction p + 2 Over 18 EndFraction

log StartFraction 18 Over p + 2 EndFraction

log StartFraction 20 Over p EndFraction

log left-bracket 18 times (p + 2) right-bracket

log (18 / (p+2))

log StartFraction 18 Over p + 2 EndFraction

Second option is the correct.

Step-by-step explanation:

There is a property of logarithms that when two logarithms are subtracting each other, we can make a single logarithm with the argument being the division of their arguments:

log (x) - log (y) = log (x/y)

So, with we have log18 - log (p + 2), we can rewrite as:

log18 - log (p + 2) = log (18 / (p+2)), that is:

log StartFraction 18 Over p + 2 EndFraction

Second option is the correct.