6
lesson pretestMultiple Choice

Pretest

Question 6 • Mathematics III

Which of the following illustrates the product rule for logarithmic equations?

Answer
A
log sub 2 of 4 x is equal to the log base 2 of 4 plus the log base 2 of x
B
log sub 2 of 4 x is equal to the log base 2 of 4 minus the log base 2 of x
C
log sub 2 of 4 x is equal to log sub 2 times 4 times log sub 2 x
D
log sub 2 of 4 x is equal to log sub 2 times 4 divided by log sub 2 x

Explanation

The product rule for logarithms is log_b(MN) = log_b(M) + log_b(N). Applying it to log base 2 of 4x gives log base 2 of 4 plus log base 2 of x. Therefore, choice D illustrates the product rule.

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