Question

Determine the domain of the following log function algebraically. f(x) = log5 (2x-1)

Answer 1

`((1)/(2),\infty)`

Step-by-step explanation:

Remember that any logarithm is capable of recieveng numbers that are greater than zero. This way, we'll have the restriction:

`2x-1>0`

Solving for x,

`\begin{gathered} 2x-1>0 \\ \rightarrow2x>1 \\ \\ \Rightarrow x>(1)/(2) \end{gathered}`

This way, the domain is:

`((1)/(2),\infty)`