I need to prove that \({125^{2y-1} = 25^{y+4}}\) by graphing it.
I graphed it here.
However, I can't seem to find the point of intersection?
Graphing it on my graphing calculator, I got (2.75, 2.72958 E9) as the point of intersection. However, how is that graphically possible since I don't see that point anywhere (both on the graph on my calculator and on desmos)?
+129849 Well......let's see if this has a solution....we have that
1252x-1 = 25x + 4
(5^3)2x- 1 = (5^2)x + 4
5^(6x - 3) = 5^(2x + 8) we have the bases the same...so....we can solve for the exponents
6x - 3 = 2x + 8
4x = 11
x = 11/4 = 2.75
The problem is probably that you didn't set the y scale high enough in Desmos
We need it to be at least 25^(2.75 + 4) ≈ 2,729,575,167 ≈ 2800000000
[ I set the x scale for 0 to 3 and the y scale for 0 to 2800000000 ...no commas !!!]
See the Desmos graph here : https://www.desmos.com/calculator/emuwj0rwgf
