Question

Evaluate the expressions without using a calculator:

Evaluate log81.
a) 2
b) 3
c) 4
d) 5

Answer 1

The expression log81 with a value of 2 is undefined or does not exist.

Step-by-step explanation:

To evaluate the expression log81, we need to determine which exponent to raise 81 to in order to get the desired number. In this case, we are looking for the number 2, so we need to find the exponent that satisfies 81 raised to that exponent equals 2.

Since 81 can be written as 3^4, we are essentially solving 3^4 = 2. However, we can see that there is no whole number exponent that satisfies this equation.

Therefore, the expression log81 with a value of 2 is undefined or does not exist. None of the given options (a) 2, (b) 3, (c) 4, or (d) 5 is the correct answer.