Question

Evaluate log8 12.

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Answer 1

`log_(8) 12 = (ln 12)/(ln 8)`
= 1.1949 when simplified out

Answer 2

ANSWER


`\boxed { log_(8)(12) = 1.1950}`


Step-by-step explanation

We want to evaluate


`log_(8)(12)`



This logarithm is in base 8.

Recall the change of base formula,


`log_(a)(b) = ( log_(c)(b) )/( log_(c)(a) )`


We can change to base e to obtain,


`log_(8)(12) = ( log_(e)(12) )/( log_(e)(8) )`


`log_(8)(12) = ( ln(12) )/( ln(8) )`


`log_(8)(12) = ( 2.485)/( 2.079 )`


`log_(8)(12) = 1.1950`