Final answer to the problem
$x=\ln\left(3\right)$
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1
Apply the formula: $x^a$$=\left(x^a\right)^{coef\left(a\right)}$, where $a=2x$, $x=e$ and $x^a=e^{2x}$
$\left(e^x\right)^2-e^x-6=0$
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$\left(e^x\right)^2-e^x-6=0$
Learn how to solve problems step by step online. Solve the exponential equation e^(2x)-e^x+-6=0. Apply the formula: x^a=\left(x^a\right)^{coef\left(a\right)}, where a=2x, x=e and x^a=e^{2x}. We can try to factor the expression \left(e^x\right)^2-e^x-6 by applying the following substitution. Substituting in the polynomial, the expression results in. Factor the trinomial u^2-u-6 finding two numbers that multiply to form -6 and added form -1.
Final answer to the problem
$x=\ln\left(3\right)$
Exact Numeric Answer
$x=1.0986123$
