SOLUTION: log(A)=log(A[0])+0.1tlog(.8) Solve for A as a function of t. Having a bit of difficulty on where to start here. Please help an old man going back to school...

Question 745760: log(A)=log(A[0])+0.1tlog(.8) Solve for A as a function of t.
Having a bit of difficulty on where to start here. Please help an old man going back to school...
Answer by KMST(5397) (Show Source): You can put this solution on YOUR website!
I would start with properties of logarithms, like
and

EXTRA:
as a function of is an exponential decay function.
The graph looks like this

If you start with a quantity and lose 20% of what you have every 10 hours, at time hours you will have 80% of left

At time hours you will have 80% of that 80% left
, which is 64% of
At time hours you will have 80% of 80% of 80% left
, which is 51.2% of
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