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

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

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

domain

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

x > - \frac{3}{2}

Interval Notation

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

Solution steps

Find positive values for logs:

x > - \frac{3}{2}

The function domain

x > - \frac{3}{2}

arcsin (e^{x})

f (x) = lo g_{5} (\frac{x + 6}{x})

\frac{x ^{2} - 4}{2 x ^{2} - 1}

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

f (x) = \frac{- 8 - y ^{2}}{2}

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