True or False (Logarithm)

Question

1) log(x-y)=logx-logy 

 

2) log(x/y)=logx-logy 

 

3) ln0=1

 

Answer 1

1)

 

According to the rules of subtraction/addition, subtracting logs is the same as dividing the arguments of the logs. 

 

log(x - y) = logx - logy

 

False.

 

 

2)

 

True, based on the concept explained in the first part.

 

 

3)

 

The solution to a natural log is the exponent of the base number e.

 

e¹ = 0

 

 

False.

Answer 2

1) log(x-y)=logx-logy  False

2) log(x/y)=logx-logy True

3) ln0=1      False ln(0)=-Inf