find the logarithm using the change of base formula.\n$log_{7}60$\n$log_{7}60=square$\n(round to four…

find the logarithm using the change of base formula.\n$log_{7}60$\n$log_{7}60=square$\n(round to four decimal places as needed.)

find the logarithm using the change of base formula.\n$log_{7}60$\n$log_{7}60=square$\n(round to four decimal places as needed.)

Answer

Explanation:

Step1: Apply change of base formula

$\log_{7}60 = \frac{\log_{10}60}{\log_{10}7}$

Step2: Calculate numerator and denominator

$\log_{10}60 \approx 1.7782$, $\log_{10}7 \approx 0.8451$

Step3: Divide to get result

$\frac{1.7782}{0.8451} \approx 2.1041$

Answer:

2.1041