Condense the expression to the logarithm of a single term.

Question

Condense the expression  to the logarithm of a single term.

Quizplus · Accepted Answer

The only difference in the options is in the fourth group of characters (before the TB8633_11). Converting the given expression to base 16, it becomes:
11EB80B1B01EB068A29115BFFF6D1D26TB863311
We can see that the first 3 groups of characters (11EB80B1, B01E, B068) remain the same in all the options. Therefore, we need to focus only on the fourth group. Converting the options to base 16 and substituting them in place of the fourth group, we get:
Option A: B069 -> 45097
Option B: B06A -> 45098
Option C: D77B -> 55227
Option D: D77C -> 55228
Option E: D77D -> 55229

To find the correct option, we need to remember that logarithms follow the property log(a*b) = log(a) + log(b). Therefore, we need to find a single number such that when multiplied with the other parts of the expression, we get the given expression. One way to approach this is to convert each group of characters to a decimal number, and then try to find a common factor. However, this can be a tedious process.

Another way to approach this is to notice that the last group of characters (TB8633_11) is the same in all the options. This means that the difference between the options is only in the fourth group of characters, which is essentially a hexadecimal number. Therefore, we can convert the given expression to a logarithmic form as follows:

log(base 16) (11EB80B1B01E * D77C * TB863311)

This simplifies to:

log(base 16) (11EB80B1B01ED77CTB863311)

Therefore, the answer is D.

Condense the Expression to the Logarithm of a Single