What is the domain of f(x)=ln(8-e^{2x}) ?

The domain of f(x)=ln(8-e^{2x}) is x<(3ln(2))/2

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domain of f(x)=ln(8-e^{2x})

domain

f (x) = ln (8 - e^{2 x})

x < \frac{3 ln ( 2 )}{2}

Interval Notation

(- \infty, \frac{3 ln ( 2 )}{2})

Solution steps

Find positive values for logs:

x < \frac{3 ln ( 2 )}{2}

The function domain

x < \frac{3 ln ( 2 )}{2}

\frac{1}{x ^{\frac{3}{2}}}

f (x) = \frac{x - 2}{2 x - 5}

\frac{3 x - 5}{2 x + 1}

8 x^{4} + 24 x^{2} + 21

f (x) = \frac{x + 1}{x + 2}

What is the domain of f(x)=ln(8-e^{2x}) ?
The domain of f(x)=ln(8-e^{2x}) is x<(3ln(2))/2