Respuesta :
For example:
[tex]log _{2} 20 = log _{2} ( 4 * 5 ) = \\ = log _{2} 4 + log _{2} 5[/tex]
[tex]log_{b}( a d ) = log _{b}a +log _{b}d [/tex]
Answer:
C ) log(b) a + log(b) d
[tex]log _{2} 20 = log _{2} ( 4 * 5 ) = \\ = log _{2} 4 + log _{2} 5[/tex]
[tex]log_{b}( a d ) = log _{b}a +log _{b}d [/tex]
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,
[tex]log_{b} (ad) = log_{b} a + log_{b} d[/tex]
Hence we can conclude that option (C) is the correct answer.
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