amh2530 amh2530
  • 12-04-2019
  • Mathematics
contestada

Provide an example of the product, quotient, and power properties of logarithm

Respuesta :

Gasaqui
Gasaqui Gasaqui
  • 12-04-2019

Answer:

Step-by-step explanation:

1) The multiplication rule for logarithms states that:

[tex]log_{a} x +log_{a} y = log_{a} xy[/tex]

Example:

log⁡(4)+log⁡(4/9)=log⁡(16/9)

2) The division rule for the logarithms states that:

[tex]log_{a} x -log_{a} y = log_{a} \frac{x}{y}[/tex]

Example:

log⁡(5)-log⁡(6)=log⁡(5/6)

3) The power rule for logarithms state that:

[tex]log_{a} x^{y} = log_{a} xy[/tex]

Example:

[tex]log_{10}5^{2} = 2log_{10}5[/tex]

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