SOLUTION: Solve the following exponential equation. Write the answers as a decimal approximation (rounded to 2 decimal places) 9^(2x)=1657

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Question 382247: Solve the following exponential equation. Write the answers as a decimal approximation (rounded to 2 decimal places)

9^(2x)=1657
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Take the log of both sides, any base you like.



Use



to write:



Solve by ordinary means:



The rest is just calculator work.

Showing that



to get an intuitive sense that my claim about the choice of log base being immaterial to the outcome is left as an exercise for the student.

John

My calculator said it, I believe it, that settles it
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