Respuesta :

The expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given logarithmic expression is,

[tex]\log18 -\log(p+ 2)[/tex]

Let the expression which is equivalent to above expression is f(p). Thus,

[tex]f(p)=\log18 -\log(p+ 2)[/tex]

With the help of Quotient Rule of logarithmic, the above expression can be written as,

[tex]f(p)=\log18 -\log(p+ 2)\\f(p)=\log\left(\dfrac{18}{p+2}\right)[/tex]

Thus, the expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].

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