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kodGreya [7K]
3 years ago
14

Evaluate log8 12. Need help it's urgent!!

Mathematics
2 answers:
Mice21 [21]3 years ago
8 0
log_{8} 12 =  \frac{ln 12}{ln 8}
        = 1.1949 when simplified out
Gnesinka [82]3 years ago
5 0
ANSWER

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


EXPLANATION

We want to evaluate

log_{8}(12)



This logarithm is in base 8.

Recall the change of base formula,

log_{a}(b) = \frac{ log_{c}(b) }{ log_{c}(a) }


We can change to base e to obtain,

log_{8}(12) = \frac{ log_{e}(12) }{ log_{e}(8) }

log_{8}(12) = \frac{ ln(12) }{ ln(8) }

log_{8}(12) = \frac{ 2.485}{ 2.079 }

log_{8}(12) = 1.1950
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