- #1
naspek
- 181
- 0
e ^ (-2 ln |x + 1|) = e ^ ln [1 / (x + 1)^2]
how can this happen?
can anyone explain to me the process of this equation..
how can this happen?
can anyone explain to me the process of this equation..
Last edited:
CompuChip said:Nice how you absolutely did not try to hide the fact that you copied this from another forum.
The answer to your question: it is a known calculation rule for logarithms that
y ^{a}log(x) = ^{a}log(x^{y})
for any number a.
Mark44 said:I haven't see notation like that before. Is ^{a}log supposed to represent the log base a of something?
The notation that is used more often for this property of logarithms, I believe, is this:
log_{a} (x^{y}) = y log_{a}(x)
Exponential theory is a mathematical concept that deals with exponential functions, which are functions that have a variable in the exponent. These types of functions are commonly used to model growth and decay.
This equation represents an exponential function with a negative exponent. The value of x+1 must be greater than 0 for the function to be defined.
Exponential theory is used in a variety of scientific fields, including biology, physics, and finance. It is commonly used to model population growth, radioactive decay, and compound interest.
The natural logarithm, ln, is the inverse of the exponential function. It is used to solve exponential equations and is also commonly used in calculus to find the rate of change of exponential functions.
Euler's number, e, is a mathematical constant that is the base of natural logarithms. It is used in exponential functions to determine the rate of growth or decay. It is also commonly used in various mathematical models and equations.