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Sagot :
The logarithmic properties of a linear system are used to solve the equation.
The x-value of the intersection is x =46.
Linear system;
It is a system of an equation in which the highest power of the variable is always 1.
A one-dimension figure that has no width.
It is a combination of infinite points side by side.
Given
The pond can hold 400 water liters.
[tex]\rm y = 3.915(1.106)x[/tex] is an expression.
Let x be the day and y be the hold of water.
When pond can hold 400 liters of water the x will be;
400 = 3.915(1.106)ˣ
(1.106)ˣ = 400/3.915
(1.106)ˣ = 102.17
Taking logarithm on both sides, we get
log (1.106)ˣ = log (102.17)
x log (1.106) = log (102.17) [log aˣ = x loga] x = [log (102.17)/log (1.106)]
x = 45.92
x = 46
Thus, the x-value of the intersection is x =46.
To know more about the linear system link is given below.
brainly.com/question/20379472
Answer:
Graphing y = 3.915(1.106)x and y = 400, then finding the x-value of the intersection
Step-by-step explanation:
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