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solve. round your answer to the nearest thousandth. $9^x = 4$ $x = \\sq…

Question

solve. round your answer to the nearest thousandth.
$9^x = 4$
$x = \square$
submit

Explanation:

Step1: Take log of both sides

$\log(9^x) = \log(4)$

Step2: Apply log power rule

$x\log(9) = \log(4)$

Step3: Isolate x

$x = \frac{\log(4)}{\log(9)}$

Step4: Calculate and round

$x \approx \frac{0.60206}{0.95424} \approx 0.631$

Answer:

0.631