SOLUTION: solve the equation for t A=Be^-t/2

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Question 1127637: solve the equation for t
A=Be^-t/2
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Is the exponent -t ?
Or -t/2 ?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
A=Be^-t/2

You need to write it properly. Not sure if you mean as A=Be%5E%28-t%2F2%29.

Using natural log base,

ln%28A%29=ln%28Be%5E%28-t%2F2%29%29

ln%28A%29=ln%28B%29%2Bln%28e%5E%28-t%2F2%29%29

ln%28A%29-ln%28B%29=-%28t%2F2%29%2Aln%28e%29

ln%28A%29-ln%28B%29=-t%2F2

t%2F2=ln%28B%29-ln%28A%29


t=%281%2F2%29%28ln%28B%29-ln%28A%29%29