What is the domain of f(x)=log_{2}(x-4)+3log_{2}(x) ?

The domain of f(x)=log_{2}(x-4)+3log_{2}(x) is x>4

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domain of f(x)=log_{2}(x-4)+3log_{2}(x)

domain

f (x) = lo g_{2} (x - 4) + 3 lo g_{2} (x)

x > 4

Interval Notation

(4, \infty)

Solution steps

Find positive values for logs:

x > 4

The function domain

x > 4

f (x) = - lo g_{10} (1.41 x 1 0^{- 11})

4 lo g_{2} (x) + lo g_{2} (3)

ln (- 3 e^{- 4 t})

ln (e^{2 x} \cdot x \cdot x^{4} + 2 x^{2} + 1)

2 (lo g_{6} (x) + 3 lo g_{6} (y) - 4 lo g_{6} (z))

What is the domain of f(x)=log_{2}(x-4)+3log_{2}(x) ?
The domain of f(x)=log_{2}(x-4)+3log_{2}(x) is x>4