SOLUTION: Use the change-of-base formula to approximate the logarithm accurate to the nearest ten-thousandth. log3 2/5

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Use the change-of-base formula to approximate the logarithm accurate to the nearest ten-thousandth. log3 2/5       Log On


   



Question 1006204: Use the change-of-base formula to approximate the logarithm accurate to the nearest ten-thousandth.
log3 2/5

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Choosing base of the Natural Logarithm
log%283%2C%282%2F5%29%29=ln%282%2F5%29%2Fln%283%29

%28ln%282%29-ln%285%29%29%2Fln%283%29

%280.693147-1.6094379%29%2F1.098612

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