Determine whether p ∧ (p → q) and p ∧ q are logically equivalent.
1 answer:
Answer:
Yes they are logically equivalent
p∧(p→q)≡p∧q
Step-by-step explanation:
The statements are logically equivalent if they have the same truth tables. So let´s use truth tables in order to determine if they are logically equivalent or not:
The picture that I attached you shows the truth table for each case. As you can see, p∧(p→q) has exactly the same truth values as p∧q. So we can conclude that they are logically equivalent.
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Answer:
Choice C is correct
Step-by-step explanation:
The first step is to re-write the equations in exponential form.
The first equation can be written as;
since the base is 10 and 4 the exponent.
The second equation can be written as;
The second step is to make N the subject of the formula in both equations.
Solving for N from this equation , yields;
Solving for N from the second equation , yields;
Therefore;