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If y is an exponential function of x then x is a logarithmic function of y - so to change from an exponential function to a logarithmic function, change the subject of the function from one variable to the other.

Q: How do you change an exponential functions to a logarithmic function?

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It is used in hyperbolic functions; it's the rule to change a normal trig function into hyperbolic trig function. Example: cos(x-y) = cosx cosy + sinx siny Cosh(x-y) = coshx coshy - sinhx sinhy Whenever you have a multiplication of sin, you write the hyperbolic version as sinh but change the sign. also applied when: tanxsinx (sinx)^2 etc... Hope this helps you

Well, firstly, the derivative of a function simply refers to slope. Usually we say that the function is not differentiable at a point.Say you have a function such as this:f(x)=|x|Another way to represent that would be as a piece-wise function:g(x) = { -x for x= 0The problem arises at the specific point x=0. If you look at the slope--the change in the function--from the left and right of x, you notice that it is different, negative 1 and positive 1. So, we can say that the function is not differentiable at x=0 because of that sudden change.There are however, a few functions that are nowhere differentiable. One example is the Weirstrass function. The even more ironic thing about this function is that it is continuous everywhere! Since this function is not differentiable anywhere, many might call it a non-differentiable function.There are absolutely other examples.

If its a fraction then we can change the numerators and denominators upside down .This is in case of fraction.

A reciprocal function will flip the original function (reciprocal of 3/5 is 5/3). An inverse function will change the x's and y's of the original function (the inverse of x<4,y>8 is y<4, x>8). Whenever a function is reflected over the line y=x, the result is the inverse of that function. The y=x line starts at the origin (0,0) and has a positive slope of one. All an inverse does is flip the domain and range.

If the function is continuous in the interval [a,b] where f(a)*f(b) < 0 (f(x) changes sign ) , then there must be a point c in the interval a<c<b such that f(c) = 0 . In other words , continuous function f in the interval [a,b] receives all all values between f(a) and f(b)

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Logb (x)=y is called the logarithmic form where logb means log with base b So to put this in exponential form we let b be the base and y the exponent by=x Here is an example log2 8=3 since 23 =8. In this case the term on the left is the logarithmic form while the one of the right is the exponential form.

The linear function changes by an amount which is directly proportional to the size of the interval. The exponential changes by an amount which is proportional to the area underneath the curve. In the latter case, the change is approximately equal to the size of the interval multiplied by the average value of the function over the interval.

"The" exponential function is ex. A more general exponential function is any function of the form AeBx, for any non-xero constants "A" and "B". Alternately, Any function of the form CDx (for constants "C" and "D") would also be considered an exponential function. You can change from one form to the other.

Exponential

With exponentiation functions, the rate of change of the function is proportional to it present value.A function f(x) = ax is an exponentiation function [a is a constant with respect to x]Two common exponentiation functions are 10x and ex. The number 'e' is a special number, where the rate of change is equal to the value (not just proportional). When the number e is used, then it is called the exponential function.See related links.

Both of these functions are found to represent physical events in nature. A common form of the power function would be the parabola (power of 2). One example would be calculating distance traveled of an object with constant acceleration. d = V0*t + (a/2)*tÂ². The exponential function describes many things, such as exponential decay: like the voltage change in a capacitor & radioactive element decay. Also exponential growth (such as compound interest growth).

what exponential function is the average rate of change for the interval from x = 7 to x = 8.

Log 200=a can be converted to an exponential equation if we know the base of the log. Let's assume it is 10 and you can change the answer accordingly if it is something else. 10^a=200 would be the exponential equation. For a base b, we would have b^a=200

"The base of the exponent" doesn't make sense; base and exponent are two different parts of an exponential function. To be an exponential function, the variable must be in the exponent. Assuming the base is positive:* If the base is greater than 1, the function increases. * If the base is 1, you have a constant function. * If the base is less than 1, the function decreases.

The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.

Because the temperature change that occurs across the heat exchanger from the entrance to the exit is not linear, and a logarithmic function best describes this temperature change.

Exponential form is ax = b. Logarithmic form is logab = x. For example, 102 = 100 is the same as log10100 = 2. Another example: 53 = 125 is the same as log5125 = 3. If there is no number under the log (for example, log3), the the number is understood to be ten. For example, log8 is the same as log108. A natural log uses the symbol ln. In this case, the number is understood to be e (which equals about 2.718). For example, ln5 is the same as loge5 (which the same as log2.7185).