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erma4kov [3.2K]
3 years ago
9

What does a logarithmic function look like?

Mathematics
2 answers:
Flura [38]3 years ago
3 0

Answer:

The logarithmic function, , is spoken as "the log, base a, of x." The logarithmic function is the inverse of the exponential function, so one can also think of logarithms by using exponential form. is the same operation as thinking "a to the y power equals x." The common logarithmic function, written y = log x, has an ...

agasfer [191]3 years ago
3 0
Here’s an example of a Logarithmic function, it usually has the letters “X” and “Y” in it

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Write the quadratic equation in standard form. (x - 3) 2 = 0
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1. What is an equation for the line with slope 2/3 and y-intercept 9?
Monica [59]
Question 1:

 The generic equation of the line is given by:
 y = mx + b

 Where,
 m: slope of the line
 b: cutting point with the y axis
 Substituting values ​​we have:
 y = \frac{2}3}x + 9

 Answer:
 an equation for the line with slope 2/3 and y-intercept is:
 y = \frac{2}3}x + 9

 Question 2:

 The standard equation of the line is given by:
 y-yo = m (x-xo)

 Where,
 m: slope of the line
 (xo, yo): ordered pair that belongs to the line
 The slope of the line is:
 m =  \frac{y2-y1}{x2-x1}
 Substituting values:
 m = \frac{1-(-3)}{3-1}
 m = \frac{1+3}{3-1}
 m = \frac{4}{2}
 m = 2

 We choose an ordered pair:
 (xo, yo) = (3, 1)

 Substituting values:
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 Rewriting:
 y = 2x - 6 + 1

y = 2x - 5
 Answer:
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 Question 3:

 For this case, since the variation is direct, then we have an equation of the form:
 y = kx
 Where,
 k: constant of variation.
 We then have the following equation:
 -4y = 8x
 Rewriting we have:
 y = \frac{8}{-4}x

 y = -2x
 Therefore, the constate of variation is given by:
 k = -2

 Answer:
 the constant of variation is:
 k = -2

 Question 4:

 For this case, since the variation is direct, then we have an equation of the form:
 y = kx
 Where,
 k: constant of variation.
 We must find the constant k, for this we use the following data:
 y = 24 when x = 8
 Substituting values:
 24 = k8
 Clearing k we have:
 k =  \frac{24}{8} 

 k = 3

 Therefore, the equation is:
 y = 3x
 Thus, substituting x = 10 we have that the value of y is given by:
 y = 3 (10)

y = 30 Answer:
 the value of y when x = 10 is:
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