Finite Math Examples

Solve for x e^(x-4)(e^(2x+8))=24
Step 1
Multiply by by adding the exponents.
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Step 1.1
Use the power rule to combine exponents.
Step 1.2
Add and .
Step 1.3
Add and .
Step 2
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 3
Expand the left side.
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Step 3.1
Expand by moving outside the logarithm.
Step 3.2
The natural logarithm of is .
Step 3.3
Multiply by .
Step 4
Subtract from both sides of the equation.
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 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: