## Related questions with answers

Question

Find the exact solution, using common logarithms, and a two-decimal-place approximation of each solution, when appropriate.

$2^{-x}=8$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3To approximate value of $x$, we have;

$\begin{aligned} 2^{-x}&=8 \ \ \ \ \ \ \ \text{(Given)}\\ \log 2^{-x}&=\log 8 \ \text{(Take the logarithms of both sides)}\\ \end{aligned}$

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