Describe the relationship between an equation in logarithmic form and an equivalent equation in exponential form.
log function is the inverse function of exponential function
The exponential function may be written as: y = bx. The exponential function is a one-to-one function, which means that for each x there is only one y and for each y there is only one x. Functions that are one-to-one have inverse functions. The relationship between a function and its inverse is that one function is the reflecion (about the line y = x) of the other. To write the equation of the inverse of a one-to-one function one must interchange the x and y variables and solve for y. For example, we can find the inverse function of y = 3x by first interchanging x and y (x = 3y) and then solving for y: y =1/3 x. Or we can consider the function y = x2 , x > 0, which has the inverse function x = y2 => y = . So y = bx has the inverse x = by
no, exponential function is like this :3^x,4^x, y=bx is linear function
ex log(base b)x=y raising both sides of powers b^[log(base b)x]=b^y x=b^y
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