7. use $log_{7} 4 \\approx 0.712$ and $log_{7} 12 \\approx 1.277$ to ev… | Sovi AI

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$7. use $log_{7} 4 \\approx 0.712$ and $log_{7} 12 \\approx 1.277$ to ev…$

Question

use $log_{7} 4 \approx 0.712$ and $log_{7} 12 \approx 1.277$ to evaluate $log_{7} \frac{1}{4}$. $log_{7} \frac{1}{4} \approx \square$

Explanation:

Step1: Apply log reciprocal rule

$\log_7 \frac{1}{4} = -\log_7 4$

Step2: Substitute given log value

$\log_7 \frac{1}{4} \approx -0.712$

Answer:

$-0.712$