Find the largest and smallest value of the function on the segment y = ㏒₃x [1/3; 9]
| August 3, 2021 | education
The logarithmic function is steadily increasing over the domain if the base is greater than one, and decreasing when the base is from zero to one.
Obviously, 3 ˃ 0, so the given function is increasing. It takes the smallest value for the smallest argument value x = 1/3:
y = ㏒₃ (1/3) = -1.
And the largest value for the largest argument value x = 9:
y = ㏒₃ (9) = 2.
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