SOLUTION: Given Log x base 3 equals c and log b base 3 equals 2c. what is value of x?

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Question 960110: Given Log x base 3 equals c and log b base 3 equals 2c. what is value of x?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+3%2Cx+%29+=+c+
+log%28+3%2Cb+%29+=+2c+
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Add the equations
+log%28+3%2Cx+%29+%2B+log%28+3%2Cb+%29+=+3c+
+log%28+3%2C+b%2Ax+%29+=+3c+
I can say:
+3%5E%283c%29+=+b%2Ax+
+%28+3%5E3%29%5Ec+=+b%2Ax+
+b%2Ax+=+27%5Ec+
+x+=+27%5Ec+%2F+b+ answer
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check:
+log%28+3%2Cx+%29+=+c+
+3%5Ec+=+x+
+3%5Ec+=+27%5Ec+%2F+b+
+3%5Ec+=+%28+3%5E3%29%5Ec+%2F+b+
+3%5Ec+=+%28+3%5Ec%29%5E3+%2F+b+
+b+=+%28+3%5Ec+%29%5E2+
+b+=+3%5E%282c%29+
and this gives me:
+log%28+3%2C+b+%29+=+2c+
OK