Respuesta :

Answer:

[tex]\log(86)\approx1.9345[/tex]

Step-by-step explanation:

We can rewrite the given expression:

[tex]\log(86)[/tex]

using the multiplication property of logarithms:

[tex]\log(a\cdot b) = \log(a) + \log(b)[/tex]

↓↓↓

[tex]\log(86) = \log(2 \cdot 43) = \log(2) +\log(43)[/tex]

Then, we can plug in the given approximate values:

  • [tex]\log(2)\approx 0.3010[/tex]
  • [tex]\log(43)\approx1.6335[/tex]

↓↓↓

[tex]\log(86) \approx 0.3010 + 1.6335[/tex]

[tex]\boxed{\log(86)\approx1.9345}[/tex]