Final answer:
To find the logarithm using the change of base rule, we can use the formula: log_b(x) = log_a(x) / log_a(b). In this case, we want to find log_3(A) and option B, -0.6309, is the correct answer.
Step-by-step explanation:
To find the logarithm using the change of base rule, we can use the formula:
logb(x) = loga(x) / loga(b)
Where x is the number we want to find the logarithm of, and a and b are the bases of the logarithm.
In this case, we want to find log3A. Using the change of base rule, we can rewrite this as:
log3(A) = log(A) / log(3)
We are given answer options in the form of decimal numbers, so we need to use a calculator to determine the values of log(A) and log(3). By dividing the values, we can find the logarithm to four decimal places.
We can solve this by dividing the logarithms using a calculator. The answer to find log₃ A) is approximately -0.6309 (option B).