SOLUTION: log x base 9 = -1/2

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Question 1127075: log x base 9 = -1/2
Found 2 solutions by MathLover1, ankor@dixie-net.com:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%289%2C+x+%29=+-1%2F2...change to base 10
log%28x%29%2Flog%289%29=+-1%2F2
log%28x%29=+-%281%2F2%29log%289%29
log%28x%29=+log%289%5E%28-1%2F2%29%29

log%28x%29=+log%281%2F9%5E%281%2F2%29%29
log%28x%29=+log%281%2Fsqrt%289%29%29
log%28x%29=+log%281%2F3%29....since log same, we have
x=1%2F3


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
log x base 9 = -1/2
log%289%2C%28x%29%29+=+-1%2F2
the exponent equiv of logs
x+=+9%5E%28-1%2F2%29
which is
x+=+%281%2F9%29%5E%281%2F2%29
or
x = sqrt%281%2F9%29
x = 1%2F3