What is the solution of the equation 3^x=12? round your answer to the nearest ten-thousandth. a) 0.4421 b) 0.4771 c) 0.5149 d) 2.2619

Hey!

Okay, so if    equals  ,  then   equals  .  So, we'll plug in the numbers into this 'equation' we have now.



And now we'll apply this log rule →  



Now we have to solve . To do that, we'll divide both sides of the equation by  .



Now we simplify



So, this means the equation    solved is    or  2.2619.

Hope this helps!

- Lindsey Frazier ♥

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