# How do you evaluate #log_8 12#?

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To evaluate ( \log_8 12 ), you need to find the exponent to which the base (8) must be raised to obtain the number 12. In other words, you are solving the equation ( 8^{\text{exponent}} = 12 ). This can be calculated using logarithmic properties, specifically the change of base formula: ( \log_b a = \frac{\log_c a}{\log_c b} ). So, ( \log_8 12 = \frac{\log 12}{\log 8} ). You can then use a calculator to find the numerical value of this expression.

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