What is the domain of f(x)=log_{10}(3-2x)+5 ?

The domain of f(x)=log_{10}(3-2x)+5 is x< 3/2

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domain of f(x)=log_{10}(3-2x)+5

domain

f (x) = lo g_{10} (3 - 2 x) + 5

x < \frac{3}{2}

Interval Notation

(- \infty, \frac{3}{2})

Solution steps

Find positive values for logs:

x < \frac{3}{2}

The function domain

x < \frac{3}{2}

f (x) = \frac{x \cdot 10 - x}{2 x - 9}

f (x) = - x - 5 + 1

x \cdot ln (x)

(1 + sin (x)) (1 + cos (x))

3 x^{\frac{2}{3}} - 2 x

What is the domain of f(x)=log_{10}(3-2x)+5 ?
The domain of f(x)=log_{10}(3-2x)+5 is x< 3/2