227 equals 47 309 times 1.14 to the power of x?

Answer 1

To solve for x in the equation 227 = 47309(1.14)x, logarithms must be used. A logarithm is the inverse of an exponent.

227/47309 = 1.14x

x = log1.14(227/47309)

x = -40.75

Note: To do this with a calculator, you'd have to enter log(227/47309)/log(1.14) to get the answer.