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Verified Answer :

HomertheGenius

For example:
\(log _{2} 20 = log _{2} ( 4 * 5 ) = \\ = log _{2} 4 + log _{2} 5\)
\(log_{b}( a d ) = log _{b}a +log _{b}d\)
Answer:
C ) log(b) a + log(b) d

The expression for log_{b} (ad) is log_{b} a + log_{b} d. Option (C) is the correct answer.

What is a logarithm?

"Logarithms are the other way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm is just the opposite function of exponentiation".

For the given situation,

The positive numbers are a,b and d.

By product rule of the logarithm,

\(log_{b} (ad) = log_{b} a + log_{b} d\)

Hence we can conclude that option (C) is the correct answer.

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