SOLUTION: 3.1^x = 49.8 We're working on natural logrithyms & e's. I truly don't know what to do. Do I do inverse operation of 3.1/ 49.8? I'm having a brain cramp. My answer is no where n

Algebra ->  Graphs -> SOLUTION: 3.1^x = 49.8 We're working on natural logrithyms & e's. I truly don't know what to do. Do I do inverse operation of 3.1/ 49.8? I'm having a brain cramp. My answer is no where n      Log On


   



Question 807991: 3.1^x = 49.8
We're working on natural logrithyms & e's. I truly don't know what to do. Do I do inverse operation of 3.1/ 49.8? I'm having a brain cramp. My answer is no where near the book. HELP!!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3.1^x = 49.8
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When the variable is in the exponent, take the log or ln.
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log(3.1^x) = log(49.8)
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x*log(3.1) = log(49.8)
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x = log(49.8)/log(3.1)
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x = 1.6972/0.4914
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x = 3.4541
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Cheers,
Stan H.