10^x = 707 Find 2 consecutive integers that x is in-between, what is exact value of x. I am confused how to solve this equation without using a calculator

Intermediate Algebra
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ISBN:9780998625720
Author:Lynn Marecek
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Chapter10: Exponential And Logarithmic Functions
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Problem 445RE: Mouse populations can double in 8 months (A=2A0) . How long will it take for a mouse population to...
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10^x = 707 Find 2 consecutive integers that x is in-between, what is exact value of x.

I am confused how to solve this equation without using a calculator 

 

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