Question

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

Answer 1

Try this option:
rule: logₐ(bc)=logₐb+logₐc;

according to the rule: log₂(4x)=log₂4+log₂x

answer: log₂4+log₂x

Answer 2

We are given Logarithmic equations.

We need to find the equation which illustrates the product rule.

We know, the product rule of Logarithms is:

$log_b (mn) = log_b(m) + log_b(n)$.

According to the product rule of Logarithms, we need to separate logs by plus sign.

In the given options only 4th option logs are separated by plus sign.

$log_2(4x) = log_2\ 4+log_2\ x$.

Therefore, correct option is 4th option.