What is the domain of f(x)=log_{10}(sqrt(5x-8)) ?

The domain of f(x)=log_{10}(sqrt(5x-8)) is x> 8/5

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domain of f(x)=log_{10}(sqrt(5x-8))

domain

f (x) = lo g_{10} (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 + 8}{7 x ^{2} - x - 8}

- 4^{(1 - x)} + 5

ln (x - 2) + 3

f (x) = 3^{x - 1} - 2

f (x) = 3^{x - 1} - 1

What is the domain of f(x)=log_{10}(sqrt(5x-8)) ?
The domain of f(x)=log_{10}(sqrt(5x-8)) is x> 8/5