Question

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.

Answer 1

The expression equivalent to log18 – log(p +2) is $\rm log \left ( \dfrac{18}{p+2} \right )$.

We have to determine

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

According to the question

Equation; $\rm log18 - log(p +2)$

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:

$\rm log(x) - log(y) = log \left(\dfrac{x}{y} \right )$

By applying the property in the given equation;

$\rm = log18 - log(p +2)\\ \\ = log \left ( \dfrac{18}{p+2} \right )$

Hence, the expression equivalent to log18 – log(p +2) is $\rm log \left ( \dfrac{18}{p+2} \right )$.

To know more about Logarithmic Property click the link given below.

https://brainly.com/question/25874166