Final answer to the problem
$x=-\ln\left(\frac{1}{12}\right)$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Factor the polynomial $-12e^{-x}+8$ by it's greatest common factor (GCF): $4$
$4\left(-3e^{-x}+2\right)=7$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation -12e^(-x)+8=7. Factor the polynomial -12e^{-x}+8 by it's greatest common factor (GCF): 4. Divide both sides of the equation by 4. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 2 from both sides of the equation. Canceling terms on both sides.
Final answer to the problem
$x=-\ln\left(\frac{1}{12}\right)$
Exact Numeric Answer
$x=2.4849066$
