Logarithmic functions are the inverses of exponential functions. The inverse of the exponential funtion y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. A logarithm is really nothing more than an exponent.
Answer:
79
Step-by-step explanation:
Let's say that N is the number of cards.
So the first step is N+5, because dan bought 5 new cards.
Next his dog ate half the collection, so the 2nd piece of the problem is 
The last step is to now make it an equation. Because there are now 46 cards left,
=42.
Now solve for N which is N+5=84=> N=79
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