The proof for the product property of logarithms requires simplifying the expression logb(bx+y) to x + y. Which property is used to justify this step?

Respuesta :

Answer:

[tex]log_bb^c=c[/tex]

Step-by-step explanation:

We are given that

[tex]log_bb^{x+y}=x+y[/tex]

We have to find the property which is used to justify this step.

We know that

[tex]e^{x+y}=e^x\cdot e^y}[/tex]

Using the formula

[tex]log_b(b^x\cdot b^y)}=log_bb^x+log_bb^y[/tex]

By using the formula

[tex]log(m\cdot n)=log m+log n[/tex]

[tex]log_bb^{x+y}=x+y[/tex]

By using the property

[tex]log_bb^c=c[/tex]

Answer:

c. on edge

Step-by-step explanation: