A production function describes the relation between output and the inputs to a given process. A simple production function might relate output to two inputs, labor and capital. (Capital typically ...

In this video I will help you explore how to use the properties of logarithms to simplify an exponential expression Why do ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

In this video, we provide essential "math help" by explaining how to find the "domain of a function" for "logarithmic functions". We walk through easy, medium, and hard examples, illustrating the ...

The power supply of a space satellite is by means of a radioisotope. The power output, in watts, is given by \({w_t} = {w_o}{e^{kt}}\) where \(t\) is the time in days. The power output at launch is 60 ...

# Solves c = x^x, where "c" is known. # (based on Newton's method for nth-root) # Example: 100 = x^x # x = lgrt(100) # x =~ 3.59728502354042 # The function is defined in complex numbers for any value ...

This note elaborates Suppes’ (1977, Erkenntnis Vol. 11, No. 1, pp 233-250) derivation of the logarithmic function as a consumer’s cardinal utility function on money income levels, in which the ...