finding the domain of definition of composite log function #maths #mathematics #python

When we study the logarithmic or the exponential functions, we have to make sure that we know the domain of definition. So the logarithm of X is defined when X is positive. Okay, when X is negative, we have no no values for the log in this case and it's not defined when we are trying to solve some equations. For the log we take care of the fact that the log is injective function. So if we have the log of a is equal to log of B, that means a is equal to B. And we can solve from there to get the solutions that we need. So this is 1 key idea that would help us solve these kinds of problems.

An A and B are both positive. We have the natural log of a is the natural log of a plus the natural log of B the same thing concerned the exponential. So the exponential is very fast, and we're going to use that in solving many different problems in the next few weeks. So this problem can be beneficial to students doing calculus AP Calculus and to teachers trying to get their license. It's also hard for for the AMC 12 students and for the student doing the math Olympia.
When we study the logarithmic or the exponential functions, we have to make sure that we know the domain of definition. So the logarithm of X is defined when X is positive. Okay, when X is negative, we have no no values for the log in this case and it's not defined when we are trying to solve some equations. For the log we take care of the fact that the log is injective function. So if we have the log of a is equal to log of B, that means a is equal to B. And we can solve from there to get the solutions that we need. So this is 1 key idea that would help us solve these kinds of problems.

An A and B are both positive. We have the natural log of a is the natural log of a plus the natural log of B the same thing concerned the exponential. So the exponential is very fast, and we're going to use that in solving many different problems in the next few weeks. So this problem can be beneficial to students doing calculus AP Calculus and to teachers trying to get their license. It's also hard for for the AMC 12 students and for the student doing the math Olympiad. #olympiad #maths #python