Respuesta :

mhanifa

Step-by-step explanation:

Use the property of logarithm (change of base)

  • [tex]log_ab=log_cb/log_ca[/tex]

Apply to the given logarithm, considering same natural base

  • [tex]log_812=ln12/ln8[/tex]

The rule is

[tex]\boxed{\sf log_ab=\dfrac{log_eb}{log_ea}=\dfrac{lnb}{lna}}[/tex]

Now

[tex]\\ \rm\Rrightarrow log_8(12)=\dfrac{ln12}{ln8}[/tex]

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