Answer:
1.80 is the approximate value.
Step-by-step explanation:
The given expression is
\(log_{6} (25)\)
We use the following property
\(log_{a}(b)=\frac{log_{c}(b) }{log_{c}(a) }\)
So,
\(log_{6} (25)=\frac{log(25)}{log(6)}\)
But, \(log(25) \approx 1.40\) and \(log(6) \approx 0.78\)
Then,
\(log_{6} (25)=\frac{1.40}{0.78} \approx 1.80\)
Therefore, a approximate value to the given logarithm is 1.80.
