Question

Logarithms tend to cause some initial confusion when students first encounter their behaviors.  A couple of...

Logarithms tend to cause some initial confusion when students first encounter their behaviors.  A couple of common mistakes that occur with logarithms are given below.

logb(x)+logb(y)=logb(x+y)


logb(xy)=logb(x)logb(y)


rlogb(x)=(logb(x))r


For this discussion, we are looking for an explanation why a student would make one of the aforementioned errors.  In order to receive full credit for this discussion, you must complete the following tasks.

Choose 1 of the 3 mistakes listed above and try to provide an explanation of why student's would make such an error.


Provide a correction to the mistake in order to make the statement true.


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