MWD02 said:It's been a long time since I've worried about this - but could someone help me make Pr(x) the subject (I can't remember if it's possible, if it's not, I'd love a brief explanation):
T = S [(1-Pr(x))^N] + Pr(x)
Thanks in advance!
MWD02 said:Sorry, I should mention N isn't necessarily an integer.
An exponential equation is a mathematical equation in which the variable appears in the exponent. It is commonly written as y = ab^x, where a and b are constants and x is the variable.
Changing the subject in an exponential equation allows you to solve for a different variable than the one given. This can be useful in various applications, such as finding the time it takes for an investment to double or the half-life of a radioactive substance.
To change the subject in an exponential equation, you can use logarithms. If the variable you want to solve for is in the exponent, take the logarithm of both sides of the equation. If the variable is in the base, use the logarithm with a base that cancels out the exponent.
The rules for using logarithms in exponential equations are:
- The logarithm of a product is equal to the sum of the logarithms of the individual factors.
- The logarithm of a quotient is equal to the difference of the logarithms of the individual terms.
- The logarithm of a power is equal to the exponent multiplied by the logarithm of the base.
- The logarithm of a base raised to an exponent is equal to the exponent.
- The logarithm of 1 is equal to 0.
Yes, most scientific calculators have a log function that allows you to easily solve exponential equations. Just be sure to use the correct base for the logarithm when necessary.