What is the domain of f(x)=log_{5}(sqrt(5x-6)) ?

The domain of f(x)=log_{5}(sqrt(5x-6)) is x> 6/5

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domain of f(x)=log_{5}(sqrt(5x-6))

domain

f (x) = lo g_{5} (5 x - 6)

x > \frac{6}{5}

Interval Notation

(\frac{6}{5}, \infty)

Solution steps

Find positive values for logs:

x > \frac{6}{5}

The function domain

x > \frac{6}{5}

y = 3 x + 5

(5, - 5), (- 3, - 3)

- 4 x^{2} + 6 x + 1

f (x) = \frac{x}{1 - \frac{1}{x ^{2}}}

What is the domain of f(x)=log_{5}(sqrt(5x-6)) ?
The domain of f(x)=log_{5}(sqrt(5x-6)) is x> 6/5