Finite Math Examples

Solve for t ( natural log of 7900- natural log of 4000)/0.045=t
Step 1
Rewrite the equation as .
Step 2
Simplify .
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Step 2.1
Simplify the numerator.
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Step 2.1.1
Use the quotient property of logarithms, .
Step 2.1.2
Cancel the common factor of and .
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Step 2.1.2.1
Factor out of .
Step 2.1.2.2
Cancel the common factors.
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Step 2.1.2.2.1
Factor out of .
Step 2.1.2.2.2
Cancel the common factor.
Step 2.1.2.2.3
Rewrite the expression.
Step 2.2
Replace with an approximation.
Step 2.3
Divide by .
Step 2.4
Log base of is approximately .
Step 2.5
Divide by .