Question

1. the exponential equation $3^x = 12$ does not have an integer solution. round your solution to two decimal places. drag and drop the correct numbers into each box. (5 points)

Explanation:

Step1: Take log of both sides

$\log(3^x) = \log(12)$

Step2: Apply log power rule

$x\log(3) = \log(12)$

Step3: Isolate x

$x = \frac{\log(12)}{\log(3)}$

Step4: Calculate and round

$x \approx \frac{1.07918}{0.47712} \approx 2.26$

Answer:

$x \approx 2.26$