Final answer to the problem
$x=\frac{\ln\left(t-1\right)}{3}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Solve for t
- 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
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1
We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $1$ from both sides of the equation
$e^{3x}=t-1$
Learn how to solve exponential equations problems step by step online.
$e^{3x}=t-1$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 1+e^(3x)=t. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 1 from both sides of the equation. We can take out the unknown from the exponent by applying natural logarithm to both sides of the equation. Apply the formula: \ln\left(e^x\right)=x, where x=3x. Divide both sides of the equation by 3.
Final answer to the problem
$x=\frac{\ln\left(t-1\right)}{3}$
