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Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(x)) = 10log10x Using the law of logarithms blogbn = , we have that f(g(x)) = . We also need to show that is also equal to x. g(f(x)) = log10(10x) Using the law of logarithms logbbn = , which means that g(f(x)) = x. Therefore, f and g are inverses of each other.

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Idea63

Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(x)) = 10log10x

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kapoorprachi783

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What are the two laws of logarithms?

The laws apply to logarithms of any base but the identical base needs to be used at some point in a calculation. This regulation tells us a way to add logarithms collectively. Adding log A and log B results in the logarithm of the product of A and B, that is log AB. The same base, in this situation 10, is used throughout the calculation.

What is the fundamental law of logarithms?

A logarithm of more than a few raised to a power is identical to the power expanded via the logarithm of the wide variety to the same base. that is, loga(mn) = nlogam.

Learn more about logarithms here: https://brainly.com/question/247340

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