Final answer:
To find x when y = e^(x-1), take the natural logarithm of y and add 1.
Step-by-step explanation:
If y = e^(x-1), then x can be found by taking the natural logarithm of both sides of the equation.The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718281828459. The natural logarithm of x is generally written as ln x, loge x, or sometimes, if the base e is implicit, simply log x.
x = ln(y) + 1
For example, if y = e^2, then x = ln(e^2) + 1 = 2.
So, x is the natural logarithm of y plus 1.