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What is the inverse of y equals log3x?

Since the logarithmic function is the inverse of the exponential function, then we can say that

f(x) = 103x and g(x) = log 3x or f-1(x) = log 3x.

As we say that the logarithmic function is the reflection of the graph of the exponential function about the line y = x, we can also say that the exponential function is the reflection of the graph of the logarithmic function about the line y = x.

The equations

y = log(3x) or y = log10(3x) and 10y = 3x are different ways of expressing the same thing. The first equation is in the logarithmic form and the second equivalent equation is in exponential form. Notice that a logarithm, y, is an exponent.

So that the question becomes, "changing from logarithmic to exponential form":

y = log(3x) means 10y = 3x, where

x = (10y)/3.

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A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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