To solve the inequality using a table, we first have to create functions out of the inequality's left-hand and right-hand sides.
y=log(x)+5log(x-1) and y=3
To enter them in your calculator, push Y= and write the equations in the first two rows.
Next, by pushing 2nd and GRAPH, we get a table of values for whole numbers of x. Note that we are looking for x-values that make the Y_1-column less than 3.
From the table, we see that Y_1 is equal to 3 somewhere in the interval 4TblStart to 4 and â–³ Tbl to 0.001.
Having changed the table setup, push 2nd and GRAPH to see the table again. You are going to have to scroll down to find the value where y=3 for the first function.
From the table, we see that at x=4.0149 the value of the logarithmic function becomes 3. Therefore, the solution to the inequality has to be all values of x that are more or equal to 4.0149.
x≥ 4.0149
