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The proof for the product property of logarithms requires simplifying the expression logb^(b^x+y) to x+y.

Which property is used to justify this step?

A) b^x•b^y=b^x+y

B) substitution

C) logb^(b^c)=c

D) commutative property

Respuesta :

The property that can be used to justify this step would be C) logb^(b^c)=c

The property which is used in order to evaluate the given logarithmic expression is [tex]\rm log(b)^{b^{c}}=c[/tex] and this can be determined by using the rules of transformation.

Given :

Logarithmic Expression --   [tex]\rm log(b)^{b^{x+y}}[/tex]

The following steps can be used in order to determine the property used to simplify the given expression:

Step 1 - The properties of logarithmic function can be used in order to determine the correct option.

Step 2 - Write the given logarithmic expression.

[tex]\rm log(b)^{b^{x+y}}[/tex]

Step 3 - The property which is used in order to evaluate the given logarithmic expression is:

[tex]\rm log(b)^{b^{c}}=c[/tex]

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/13473114