Question

evaluate $log_{7} 55$ using common logarithms or natural logarithms. round your answer to the nearest thousandth. $log_{7} 55 \approx \square$

Explanation:

Step1: Apply change of base formula

$\log_{7}55 = \frac{\log_{10}55}{\log_{10}7}$

Step2: Calculate common logarithms

$\log_{10}55 \approx 1.74036$, $\log_{10}7 \approx 0.84510$

Step3: Divide the two values

$\frac{1.74036}{0.84510} \approx 2.059$

Answer:

$2.059$