Question

Rewrite the logarithm as a ratio of common logarithms and natural logarithms.
log8(12)

Answer 1

The rule is

`\boxed{\sf log_ab=(log_eb)/(log_ea)=(lnb)/(lna)}`

Now

`\\ \rm\Rrightarrow log_8(12)=(ln12)/(ln8)`

Answer 2

Explanation:

Use the property of logarithm (change of base)

• 
  `log_ab=log_cb/log_ca`

Apply to the given logarithm, considering same natural base

• 
  `log_812=ln12/ln8`