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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

User Tirath
by
4.6k points

2 Answers

1 vote

Answer:

B

Explanation:

Which expression is equivalent to log18 – log(p + 2)? log StartFraction p + 2 Over-example-1
User Thierno Amadou Sow
by
5.3k points
4 votes

Answer:

log(18/(p+2))

log StartFraction 18 Over p + 2 EndFraction

Second option is the correct.

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.

User Nilesh Panchal
by
4.7k points