what is the approximate value of log₆25?\n0.233\n0.557\n0.620\n1.796

Explanation:

Step1: Use change - of - base formula

$\log_{a}b=\frac{\ln b}{\ln a}$, so $\log_{6}25 = \frac{\ln 25}{\ln 6}$.

Step2: Calculate natural logarithms

We know that $\ln 25\approx3.218876$ and $\ln 6\approx1.791759$.

Step3: Divide the results

$\frac{\ln 25}{\ln 6}\approx\frac{3.218876}{1.791759}\approx1.796$.

Answer:

1.796