Question

1. use $log_{7} 4 \approx 0.712$ and $log_{7} 12 \approx 1.277$ to evaluate $log_{7} 16$. $log_{7} 16 \approx \square$

Explanation:

Step1: Rewrite 16 as a power of 4

$\log_{7}16 = \log_{7}4^2$

Step2: Apply power rule of logarithms

$\log_{7}4^2 = 2\log_{7}4$

Step3: Substitute given value of $\log_{7}4$

$2 \times 0.712$

Step4: Calculate the product

$2 \times 0.712 = 1.424$

Answer:

1.424