Question

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

Answer 1

$log_{8} 12 = \frac{ln 12}{ln 8}$
        = 1.1949 when simplified out

Answer 2

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,

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

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

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

$log_{8}(12) = 1.1950$