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Solve each exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. 34x+42x+8=03 \cdot 4^{x}+4 \cdot 2^{x}+8=0


Answered 2 years ago
Answered 2 years ago
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To solve for exponential equation, we must change it first to a logarithmic equation using the same base. Using the one-to-one property of the exponential function on page 461:

If au=av,then u=v;a>0, a1\begin{aligned} \text{If}\ a^u=a^v, \text{then}\ u=v;\\ a>0,\ a\ne1 \end{aligned}

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