Exponential functions are related to logarithmic functions in that they are inverse functions. Exponential functions move quickly up towards a [y] infinity, bounded by a vertical asymptote (aka limit), whereas logarithmic functions start quick but then taper out towards an [x] infinity, bounded by a horizontal asymptote (aka limit).
If we use the natural logarithm (ln) as an example, the constant "e" is the base of ln, such that:
ln(x) = y, which is really stating that the base (assumed "e" even though not shown), that:
if we try to solve for y in this form it's nearly impossible, that's why we stick with ln(x) = y
but to find the inverse of the form:
switch the x and y, then solve for y:
So the exponential function is the inverse of the logarithmic one, f(x) = ln x
Answer:
43
Step-by-step explanation:
Arrange from smallest to largest
You'll have two numbers in the middle add tgem then divide by 2
Answer: 2.94 ft²
Step-by-step explanation:
Observe the figure attached:
The line LM divide the triangle into two right triangles.
Find the heigh "h" as following:
Apply the formula for calculte the area of a triangle:
Where B (B=3.4 ft) is the base and h is the height (h=1.73ft)
Then:
6*5=30
so do 6+6+6+6+6
or 5+5+5+5+5+5
each one works
Answer:
Step-by-step explanation:
The equation of the given line:
This equation is in the form . Therefore, 1/3 is the slope.
To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.
The equation of the perpendicular line: