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Answer:
D) log5(15)
Step-by-step explanation:
The relevant rule of logarithms is called the "change of base formula:"
[tex]\log_b(a)=\dfrac{\log(a)}{\log(b)}[/tex]
The logs on the right side of this equation can have any base, provided both have the same base.
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Your expression can be simplified as follows:
[tex]\dfrac{\log_5(m)}{\log_{15}(m)}=\dfrac{\left(\dfrac{\log(m)}{\log(5)}\right)}{\left(\dfrac{\log(m)}{\log(15)}\right)}=\dfrac{\log(15)}{\log(5)}=\boxed{\log_5(15)}[/tex]