SOLUTION: I need help with this logarithm problem: Solve for x in terms of y. y = (10^x - 10^-x) / (10^x + 10^-x) Thank you!

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Question 880336: I need help with this logarithm problem:
Solve for x in terms of y.
y = (10^x - 10^-x) / (10^x + 10^-x)
Thank you!
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Let me abbreviate the first few steps through description:

Multiply the right-hand side by %2810%5Ex%29%2F%2810%5Ex%29, and simplify.
Multiply left and right sides by 10%5E%282x%29%2B1.
After some use of Distributive Property and use of additive inverse property, you should obtain:
10%5E%282x%29=%28y%2B1%29%2F%281-y%29
Then taking common logs of both sides, obtain
highlight%28x=%281%2F2%29log%2810%2C%28%28y%2B1%29%2F%281-y%29%29%29%29
or
to make that easier to read when rendered, just understand COMMON LOGS,
highlight%28x=%281%2F2%29log%28%28%28y%2B1%29%2F%281-y%29%29%29%29