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

The domain of y=log_{10}(5+3x) is x>-5/3

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domain of y=log_{10}(5+3x)

domain

y = lo g_{10} (5 + 3 x)

x > - \frac{5}{3}

Interval Notation

(- \frac{5}{3}, \infty)

Solution steps

Find positive values for logs:

x > - \frac{5}{3}

The function domain

x > - \frac{5}{3}

f (x) = (2 x)^{\frac{1}{3}} - 7

f (x) = \frac{5}{2 x + 1}

f (x) = 2 π r^{2} + 12 π r

y = - (x + 1)^{3} + 27

f (x) = \frac{4 - x ^{2} - 1}{1 - ∣ x - 2 ∣}

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