Which of these log rules are true and which are false? Im having trouble with the 1/2 and radicals.

Question

  ?    True    False     1. ln(A)ln(B)=ln(A)+ln(B)

  ?    True    False     2. (log(A))/(log(B))=log(A)−log(B)log⁡(A)log⁡(B)=log⁡(A)−log⁡(B)

  ?    True    False     3. √ln(A)=ln(A(1/2))ln⁡(A)=ln⁡(A^(1/2))......ln(a)...the one to the left of the equal sign is inside of a radical

  ?    True    False     4. log(AB)=log(A)+log(B)log⁡(AB)=log⁡(A)+log⁡(B)

  ?    True    False     5. log(√A)=12log(A)log⁡(A)=(1/2)log⁡(A)......(a) is inside of a radical(left of equal sign after log)

  ?    True    False     6. p⋅ln(A)=ln(A^p)

Answer 1

logAB = logA + logB, NOT logAlogB= logA+logB

log(A/B) = logA -logB NOT logA/logB = logA-logB

both easily confused

1) and 2) false, 4) True

6) also true plogA = logA^p

3) & 5) Good luck figuring that out.

the terms seem confusing enough

without the usual confusion