SOLUTION: Please solve: {{{ log( x^2, 9 ) - log( x, 36 ) = 1 }}}

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Question 362207: Please solve:
+log%28+x%5E2%2C+9+%29+-+log%28+x%2C+36+%29+=+1+
Answer by HasanSahin(52) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+x%5E2%2C+9+%29+-+log%28+x%2C+36+%29+=+1+
See the rule : +log%28+a%5En%2C+b%5Em+%29++ = +%28m%2Fn%29+%2A+log%28a%2Cb%29+
In your question,+log%28+x%5E2%2C+3%5E2+%29++ = +%282%2F2%29%2A+log%28x%2C3%29+
The problem becomes;
+log%28x%2C3%29+-+log%28+x%2C+36+%29+=+1+
See rule 2 : +log%28+a%2C%28x%2Fy%29+%29++ = +log%28+a%2Cx+%29++ - +log%28a%2Cy%29+
So that >> +log%28x%2C3%29+-+log%28+x%2C+36+%29+=+1+ = +log%28x%2C3%2F36%29+
Therefore >> +log%28x%2C1%2F12%29+=+1+
See rule 3 : +log%28a%2Ca%29+=+1+
Therefore >> x = 1/12
RF.