Respuesta :
x = 1.2492
CHECK
log (base3) (1.2492 + 1) ?=? log (base6) (5 - 1.2492)
log(base3) 2.2492 ?=? log(base6) 3.7508
0.73782 ?=? 0.73781
CHECK
log (base3) (1.2492 + 1) ?=? log (base6) (5 - 1.2492)
log(base3) 2.2492 ?=? log(base6) 3.7508
0.73782 ?=? 0.73781
By the graphing method, we will see that the solution for the equation is x = 1.25
How to solve an expression by graphing?
Here we have the expression:
log₃(x + 1) = log₆(5 - x)
To solve it by graphing, we need to graph both of these functions and then see where the graphs intercept.
So we need to graph:
y = log₃(x + 1)
y = log₆(5 - x)
In the same coordinate axis, the graph can be seen below.
There you can see that the intersection is in the point (1.25, 0.74)
And the x-value of that point is the solution, so the solution of:
log₃(x + 1) = log₆(5 - x)
is x = 1.25
If you want to learn more about solving by graphing, you can read:
https://brainly.com/question/14323743
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