Question

Evaluate log₃ (√3):
a) 0.5
b) 1.5
c) 0
d) 1

Answer 1

To evaluate log₃ (√3), we need to find the exponent to which 3 must be raised to get the square root of 3. In this case, the exponent is 0.5, so log₃ (√3) = 0.5.

Step-by-step explanation:

To evaluate log₃ (√3), we need to find the exponent to which 3 must be raised to get the square root of 3. In other words, we need to find x such that 3x = √3.

Since the square root of 3 is the same as 3 raised to the power of 0.5, we have 3x = 30.5.

By equating the exponents, we get x = 0.5. Therefore, log₃ (√3) = 0.5.