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Question

Solve each exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. $3 \cdot 4^{x}+4 \cdot 2^{x}+8=0$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3To 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:

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

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