What is the domain of f(x)=log_{3}(2x-5)+1 ?

The domain of f(x)=log_{3}(2x-5)+1 is x> 5/2

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domain of f(x)=log_{3}(2x-5)+1

domain

f (x) = lo g_{3} (2 x - 5) + 1

x > \frac{5}{2}

Interval Notation

(\frac{5}{2}, \infty)

Solution steps

Find positive values for logs:

x > \frac{5}{2}

The function domain

x > \frac{5}{2}

lo g_{3} (x + 1)

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

3 x - 6

2 x + 6

f (x) = ln (5 - x)

What is the domain of f(x)=log_{3}(2x-5)+1 ?
The domain of f(x)=log_{3}(2x-5)+1 is x> 5/2