The product rule for logarithmic equation is, [tex]log_{2} (4x)=log_{2} (4)+log_{2} (x)[/tex].
Definition of logarithm:
We must locate the equation that depicts the product rule.
The product rule of logarithms is as follows:
[tex]log_{b} (mn)=log_{b} (m)+log_{b} (n)[/tex]
The + sign is used to split logs according to the product rule of logarithms.
Only the fourth option logs are separated by a + sign in the supplied alternatives.
[tex]log_{2} (4x)=log_{2} (4)+log_{2} (x)[/tex]
Hence, the fourth option is right.
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