Question 571283
How do you find the smallest power of 0.917 that yields a value less than 0.10. The answer book says 27 (rounded up). How did they get that.
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.917^x<0.10
Take log of both sides
xlog(.917)<log(0.10)
divide both sides by log(.917) and reverse inequality signs (note: both logs<0)
x>log(0.10)/log(.917)
Using calculator
x>26.574..
The smallest power of 0.917 that yields a value less than 0.10&#8776;27