Trigonometry Examples

Solve for t e^(-t)=0.04
Step 1
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 2
Expand the left side.
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Step 2.1
Expand by moving outside the logarithm.
Step 2.2
The natural logarithm of is .
Step 2.3
Multiply by .
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Dividing two negative values results in a positive value.
Step 3.2.2
Divide by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Move the negative one from the denominator of .
Step 3.3.2
Rewrite as .
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: