What is the domain of f(x)=150log_{e}((350)/(400-x)) ?

The domain of f(x)=150log_{e}((350)/(400-x)) is x<400

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domain of f(x)=150log_{e}((350)/(400-x))

domain

f (x) = 150 lo g_{e} (\frac{350}{400 - x})

x < 400

Interval Notation

(- \infty, 400)

Solution steps

Find positive values for logs:

x < 400

Find undefined (singularity) points:

x = 400

Combine real regions and undefined points for final function domain

x < 400

ln (\frac{( x + 5 ) ^{4}}{x - 2})

ln (62)

f (y) = 4 lo g_{6} (y - 3) - 3 lo g_{6} (y + 2)

f (x) = ln^{2} (x) - ln (x) - 2

- ln (x) - ln ((\frac{y}{x})^{2} + 1 + \frac{y}{x})

What is the domain of f(x)=150log_{e}((350)/(400-x)) ?
The domain of f(x)=150log_{e}((350)/(400-x)) is x<400