Answer:
x = 5
Step-by-step explanation:
You can rewrite the right side, then equate the arguments of the log function.
4·ln(x) = 2·ln(25)
4·ln(x) = 2·ln(5^2)
4·ln(x) = 4·ln(5) . . . . . . . use the rule ln(a^b) = b·ln(a)
x = 5 . . . . . . . . . . . . . . . .divide by 4 and take the antilog
Answer:
x = 5
Step-by-step explanation:
Just as a note, you can look at x = 25 and know that it is not the answer. If it was, then you would get
4ln(25) = 2 ln(25) which reduces down to 4 = 2 when you divide by ln(25) on both sides.
4 ln(x) = 2 ln(25) Represent 25 as ln(5)^2
4 ln(x) = 2 ln(5)^2 The power on the right can be brought down.
4 ln(x) = 2 * 2 * ln(5) Divide both sides by 4
4 ln(x)/4 = 4 ln(5)/4
ln(x) = ln(5) Take the antiln of both sides.
antiln(ln(x)) = antiln(5)
x = 5
#1 Direct Variation, and initial value is 0
#2 Partial Variation, and initial value is 0
#3 Direct Variation, and initial value is 20
#4 Partial Variation, and initial value is 20
The type of variation in this relationship is direct variation, and the initial value is 20.
A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
The given graph represents the relationship between the number of times he visited the club and his total monthly cost.
As per the given graph, we can conclude as follows:
The type of variation in this relationship is a direct variation because the points are increasing, and the initial value is 20 because the coordinate of the initial point is (0, 20).
Hence, the correct answer would be option (C).
Learn about the linear relationship here :
#SPJ2
Answer:
#3
Step-by-step explanation:
B. skewed
C. uniform
D. None of the above
Answer:
The first and 3rd are functions, but the second and fourth are not functions.
Step-by-step explanation:
To see if something is a function, use the vertical line test. If there are multiple y coordinates for a singular point for x, it is not a function.
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