SOLUTION: 6^x=7^(x-5)

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Question 383246: 6^x=7^(x-5)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Take ln of both sides:
(ln6)x = (ln7)(x-5);
(ln6)x = (ln7)x - 5ln7;
5ln7 = (ln7 - ln6)x;
5 ln7 = ln(7/6)*x;
x+=+%285ln7%29%2F%28ln%287%2F6%29%29+=+63.117, to 3 decimal places.