`log_9 (0.1)` Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places.

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balajia | College Teacher | (Level 1) eNoter

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`log_9(0.1) = (log_(10)(0.1))/(log_(10)(9))`

`=(log_(10)(10^(-1)))/(log_(10)(3^2))`

`=(-1)/(2log_(10)(3))`

`=(-1)/(0.9542)`

=-1.048