SOLUTION: Solve it log(base 10)^(x-9) log(base 10)^x=1

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Question 896326: Solve it
log(base 10)^(x-9) log(base 10)^x=1
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Not know what you mean. Your expression on the left, badly formed, have no input for the logarithm function. If your "^" mark indicates the input, then this is wrong.
A wild guess is that you want this:
log%28%28x-9%29%29log%28%28x%29%29=1, for Common Logs.

log%28%28x-9%29%29=1%2Flog%28%28x%29%29

log%28%28x-9%29%29=-log%28%28x%29%29

log%28%28x-9%29%29=log%28%28x%5E%28-1%29%29%29-------Then these inputs must be equal.

x-9=x%5E%28-1%29
x-9=1%2Fx
x-1%2Fx-9=0-------Note that whatever found, highlight_green%28x%3C%3E0%29.
x%5E2-1-9x=0
x%5E2-9x-1=0
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x=%289%2B-+sqrt%2881%2B4%29%29%2F2
highlight%28x=%289%2B-+sqrt%2885%29%29%2F2%29