You want to find the time <em>t</em> such that
Divide both sides by $200 :
Take the logarithm of both sides:
Divide both sides by 0.04 and solve for <em>t</em> :
If the scale factor is
1 answer:
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Domain:
As we see in a numerator we have a square, so
is always 0 or more. Now, there are two possibilities:
1.
We divide two numbers, and first one is positive, so the result will be also positive (it canot be 0 in this case) when
. So:
2.
In this case the result wil be 0 (we have ≥ 0 in our inequality, so it will be a solution).
So the solution to this inequality is:
As we see in a numerator we have a square, so
1.
We divide two numbers, and first one is positive, so the result will be also positive (it canot be 0 in this case) when
2.
In this case the result wil be 0 (we have ≥ 0 in our inequality, so it will be a solution).
So the solution to this inequality is: