Just a side question: Why is Log9(3) = 1/2? Can you please solve it step by step for me. Thanks 1) Solve showing the steps. 2) Solve showing all steps. Thankyou!
Last edited by BG5965; Nov 15th 2008 at 04:38 AM.
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Originally Posted by BG5965 Just a side question: Why is Log9(3) = 1/2? Can you please solve it step by step for me. Thanks 1) Solve showing the steps. 2) Solve showing all steps. Thankyou! To your first question: You are looking for an exponent which belongs to the base 9 such that the result is 3: 2 powers with the same base are equal if the exponents are equal too. Therefore to #1: to #2:
Hello, BG5965! The numerator is: . . . . . . . . . The denominator is: . . . . . The fraction becomes: . ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ An alternate method . . . We have . . . . . . . Since , then: .
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