SOLUTION: if log(AB)=4 and log(A/B)=-2,what is the value of A?

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Question 1043465: if log(AB)=4 and log(A/B)=-2,what is the value of A?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
system%28log%28%28A%29%29%2Blog%28%28B%29%29=4%2Clog%28%28A%29%29-log%28%28B%29%29=-2%29

2log%28%28A%29%29=2

log%28%28A%29%29=1

Some base b is b%5E1=A
A number raised to power 1 is the number.
b=A.
A is any positive number not equal to 1.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
if log(AB)=4 and log(A/B)=-2,what is the value of A?
highlight_green%28A+=+10%29.

If you're curious, B = 1,000. Do the check!