What is the domain of f(x)=ln(sqrt(5x-8)) ?

The domain of f(x)=ln(sqrt(5x-8)) is x> 8/5

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domain of f(x)=ln(sqrt(5x-8))

domain

f (x) = ln (5 x - 8)

x > \frac{8}{5}

Interval Notation

(\frac{8}{5}, \infty)

Solution steps

Find positive values for logs:

x > \frac{8}{5}

The function domain

x > \frac{8}{5}

f (x) = \frac{x ^{2} - x - 2}{x ^{2} - 6 x + 8}

1 - 2 + x

y = \frac{2 x ^{2} - 6 + 4}{- 3 x - 5}

∣ x + 3 ∣

2^{x - 1} - 2

What is the domain of f(x)=ln(sqrt(5x-8)) ?
The domain of f(x)=ln(sqrt(5x-8)) is x> 8/5