10-15-2022, 06:31 AM
I still want to cover this topic in the Function app. This applies, of course, to finding graphical solutions to equations where the LN (x) and LOG (x) functions occur. I will give examples:
1. I solve graphically the system of equations: y = x ^ 2 -30 i y = LN (x)
We get 2 places of intersection. OKAY
2. Now he solves a graphically similar system of equations: y = x ^ 2 - 30 and y = LN (x - 2). Unfortunately, the calculator finds only one solution here, x = 5.59276. It does not show the second solution.
3. Now I change the function LN to LOG. Let's take a look at this.
y = x ^ 2 - 30 and y = LOG (x). We get 2 places of intersection. OKAY
4. Now we have: y = x ^ 2 -30 and y = LOG (x - 2). And here, unfortunately, as for LN, the calculator finds only one solution, x = 5.52697. It does not show the second solution.
Please correct this. And one more important note. All the above-mentioned systems of equations are solved well by the Advanced Graphing application.
1. I solve graphically the system of equations: y = x ^ 2 -30 i y = LN (x)
We get 2 places of intersection. OKAY
2. Now he solves a graphically similar system of equations: y = x ^ 2 - 30 and y = LN (x - 2). Unfortunately, the calculator finds only one solution here, x = 5.59276. It does not show the second solution.
3. Now I change the function LN to LOG. Let's take a look at this.
y = x ^ 2 - 30 and y = LOG (x). We get 2 places of intersection. OKAY
4. Now we have: y = x ^ 2 -30 and y = LOG (x - 2). And here, unfortunately, as for LN, the calculator finds only one solution, x = 5.52697. It does not show the second solution.
Please correct this. And one more important note. All the above-mentioned systems of equations are solved well by the Advanced Graphing application.