SOLUTION: make x the subject of the equation y=3e^2x write the natural logarithrm of x as ln (X)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: make x the subject of the equation y=3e^2x write the natural logarithrm of x as ln (X)      Log On


   

Question 280484: make x the subject of the equation y=3e^2x
write the natural logarithrm of x as ln (X)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
make x the subject of the equation y=3e^2x
write the natural logarithrm of x as ln (X)
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y=3e^2x
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e^(2x) = y/3
Take the natural log of both sides to get:
2x = ln(y/3)
x = (1/2)ln(y/3)
OR
x = ln[sqrt(y/3)]
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Cheers,
Stan H.