anthony1234567890 anthony1234567890
  • 02-04-2020
  • Mathematics
contestada

Plz help me solve this pre calc problem, I have to condense using the properties of log

Plz help me solve this pre calc problem I have to condense using the properties of log class=

Respuesta :

shilpa85475 shilpa85475
  • 10-04-2020

Given:

[tex]\log \left(x^{2}\right)+\log \sqrt{x^{3}+1}[/tex]

To find:

The condense of the logarithmic function.

Solution:

[tex]\log \left(x^{2}\right)+\log \sqrt{x^{3}+1}[/tex]

Apply log rule:

[tex]\log _{c}(a)+\log _{c}(b)=\log _{c}(a b)[/tex]

Using the log rule:

[tex]\log _{10}\left(x^{2}\right)+\log _{10}(\sqrt{x^{3}+1})=\log _{10}\left(x^{2} \sqrt{x^{3}+1}\right)[/tex]

[tex]\log \left(x^{2}\right)+\log \sqrt{x^{3}+1}=\log \left(x^{2} \sqrt{x^{3}+1}\right)[/tex]

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