Final answer:
To evaluate the expression 3 * (log5 2) - (log5 4), simplify each logarithm and subtract the results.
Step-by-step explanation:
To evaluate the expression 3 * (log52) - (log54), we can simplify each logarithm separately and then subtract the results.
The first logarithm, log52, represents the exponent to which 5 must be raised to equal 2. Since 51 = 5 and 52 = 25, we can say that log52 is between 1 and 2.
Similarly, the second logarithm, log54, represents the exponent to which 5 must be raised to equal 4. Since 51 = 5 and 52 = 25, we can say that log54 is between 1 and 2 as well.
Substituting these values into the original expression: 3 * (log52) - (log54) = 3 * (1 to 2) - (1 to 2) = 3 * x - x = 2x.
Therefore, the answer to the expression 3 * (log52) - (log54) is 2 * (1 to 2), which is an approximate value between 0 and 1.