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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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