What is the domain of f(x)=ln(sqrt(5x-4)) ?

The domain of f(x)=ln(sqrt(5x-4)) is x> 4/5

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domain of f(x)=ln(sqrt(5x-4))

domain

f (x) = ln (5 x - 4)

x > \frac{4}{5}

Interval Notation

(\frac{4}{5}, \infty)

Solution steps

Find positive values for logs:

x > \frac{4}{5}

The function domain

x > \frac{4}{5}

f (x) = \frac{x + 3}{x - 9}

f (x) = 8 x^{2} - 79 x + 63

f (x) = 2 ln (- 4 x + 7) - 2

f (x) = 10 x - 25

f (s) = - s^{2} - 2 s + 15

What is the domain of f(x)=ln(sqrt(5x-4)) ?
The domain of f(x)=ln(sqrt(5x-4)) is x> 4/5