Finite Math Examples

Solve for t 0.000001/202=(e^(-0.490280t))/202
Step 1
Rewrite the equation as .
Step 2
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Step 3
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 4
Expand the left side.
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Step 4.1
Expand by moving outside the logarithm.
Step 4.2
The natural logarithm of is .
Step 4.3
Multiply by .
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 5.3
Simplify the right side.
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Step 5.3.1
Move the negative in front of the fraction.
Step 5.3.2
Replace with an approximation.
Step 5.3.3
Log base of is approximately .
Step 5.3.4
Divide by .
Step 5.3.5
Multiply by .