Logarithmic equation
The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.
To undo a natural logarithm, you can use the exponential function. Specifically, if you have an equation of the form (y = \ln(x)), you can solve for (x) by exponentiating both sides: (x = e^y). This means that the inverse of the natural logarithm (\ln) is the exponential function (e^x).
To find the inverse, replace y with x, and x with y. So, the inverse of the equation is: x = 4yWhich is equal to:y = x/4
Assuming that b > 0, it is an inverse power function or an inverse exponential function.
a quadratic equation must be in this form ax^2+bx+c=0 (can either be + or -) an exponential just means that the function grows at an exponential rate f(x)=x^2 or x^3
No. The inverse of an exponential function is a logarithmic function.
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
Yes.
The inverse function of the exponential is the logarithm.
One is the inverse of the other, just like the arc-sine is the inverse of the sine, or division is the inverse of multiplication.
Logarithmic Function
An exponential function is of the form y = a^x, where a is a constant. The inverse of this is x = a^y --> y = ln(x)/ln(a), where ln() means the natural log.
The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.
b^x In general the log and the exponential are inverses.
2
10a = 478
That will depend on exactly how the equation is formed. In many cases, you can apply the inverse function to the outside first. Here is an example:sin(ln(x)) = ... To solve for "x", FIRST apply the inverse function of the sine (i.e., arcsin) to both sides of the equation. Next, apply the inverse of the natural logarithm to both sides. In this case, the exponential function (raise "e" to the power of the entire expression on both sides).