4e^(2x)+16=36solve equation for x and round answer to two decimal places. my steps so far: (if you could, please tell me where did I go wrong?) 4e^(2x)+16=36 e^(2x)+4=9 e^(2x)=5 ???????

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jeew-m | College Teacher | (Level 1) Educator Emeritus

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e^(2x)=5

Now take ln in both sides.

ln(e^(2x)) = ln5

    2xln(e) = ln 5

We know that ln(e) =1

Therefore;

2x = ln5

   x= (ln5 )/2

 

Using calculator x=0.80

 

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