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y=logx becomes 10^y=x

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Q: What is exponential form of y equals log x?
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What is the exponential form of logx equals 9.7?

Take log each side, but most important to take log of 9.7 log(9.7) = 0.9867717343 now by the law of logs 10^0.9867717343 = 9.7 ( so the 10^X = 9.7 is the exponential form )


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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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