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Take logs of both sides - you can use any base, to give the answer:

10^x = 97

→ log(10^x) = log(97)

→ x log(10) = log(97)

→ x = log(97) ÷ log(10)

If you use common logs (logs to base 10) - highly recommended in this case), then:

lg(10) = 1

→ x = lg(97)

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Q: What is the exact solution of 10 to the x power equals 97?
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